﻿229:@0.918848:0.966558:0.943044:0.966558:0.943044:0.950778:0.918848:0.950778:0.000000:0.000000:0.000000
Ejercicios resueltos:@0.108233:0.105791:0.238888:0.105791:0.238888:0.089004:0.108233:0.089004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.108233:0.122983:0.124589:0.122983:0.124589:0.106268:0.108233:0.106268:0.000000:0.000000:0.000000
  Consideremos el polinomio   definido como  ( ) = 50, :@0.124590:0.122766:0.544327:0.122766:0.544327:0.106268:0.124590:0.106268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.340011:0.122882:0.348796:0.122882:0.348796:0.106413:0.340011:0.106413:0.000000
P t:@0.470108:0.122882:0.490510:0.122882:0.490510:0.106413:0.470108:0.106413:0.000000:0.000000:0.000000
t:@0.557392:0.122882:0.563056:0.122882:0.563056:0.106413:0.557392:0.106413:0.000000
:@0.563056:0.122549:0.579104:0.122549:0.579104:0.107902:0.563056:0.107902:0.000000
:@0.579104:0.121797:0.593014:0.121797:0.593014:0.108350:0.579104:0.108350:0.000000
. :@0.593014:0.122766:0.599911:0.122766:0.599911:0.106268:0.593014:0.106268:0.000000:0.000000
 :@0.595769:0.122766:0.599911:0.122766:0.599911:0.106268:0.595769:0.106268:0.000000
Se tiene que   es un polinomio de grado 0. :@0.131977:0.140117:0.439791:0.140117:0.439791:0.123619:0.131977:0.123619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.223312:0.140232:0.232097:0.140232:0.232097:0.123764:0.223312:0.123764:0.000000
 :@0.108242:0.157468:0.112384:0.157468:0.112384:0.140970:0.108242:0.140970:0.000000
El único coeficiente no nulo de  ( ) es    = 50.:@0.131976:0.157468:0.462757:0.157468:0.462757:0.140970:0.131976:0.140970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.356836:0.157583:0.377238:0.157583:0.377238:0.141114:0.356836:0.141114:0.000000:0.000000:0.000000
a:@0.409989:0.157583:0.418967:0.157583:0.418967:0.141114:0.409989:0.141114:0.000000
0:@0.418967:0.160744:0.423920:0.160744:0.423920:0.151126:0.418967:0.151126:0.000000
 :@0.108239:0.174818:0.112381:0.174818:0.112381:0.158321:0.108239:0.158321:0.000000
Calculemos algunos valores de  ( ) para :@0.131973:0.174818:0.419116:0.174818:0.419116:0.158321:0.131973:0.158321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.353250:0.174934:0.373652:0.174934:0.373652:0.158465:0.353250:0.158465:0.000000:0.000000:0.000000
t:@0.419116:0.174934:0.424780:0.174934:0.424780:0.158465:0.419116:0.158465:0.000000
:@0.424780:0.174601:0.440828:0.174601:0.440828:0.159954:0.424780:0.159954:0.000000
:@0.440833:0.173850:0.454743:0.173850:0.454743:0.160403:0.440833:0.160403:0.000000
. Así, :@0.454743:0.174818:0.490750:0.174818:0.490750:0.158321:0.454743:0.158321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.131973:0.192285:0.140758:0.192285:0.140758:0.175816:0.131973:0.175816:0.000000
(0) = 50, :@0.140758:0.192169:0.204141:0.192169:0.204141:0.175671:0.140758:0.175671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.131973:0.209635:0.140758:0.209635:0.140758:0.193167:0.131973:0.193167:0.000000
(10) = 50, :@0.140758:0.209520:0.212637:0.209520:0.212637:0.193022:0.140758:0.193022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108239:0.226871:0.112381:0.226871:0.112381:0.210373:0.108239:0.210373:0.000000
P:@0.131973:0.226986:0.140758:0.226986:0.140758:0.210517:0.131973:0.210517:0.000000
(1 000) = 50.:@0.140758:0.226871:0.229628:0.226871:0.229628:0.210373:0.140758:0.210373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.108238:0.253244:0.124594:0.253244:0.124594:0.236529:0.108238:0.236529:0.000000:0.000000:0.000000
  Sea   el polinomio definido como  ( ) = 3 + 8  :@0.124595:0.253026:0.490457:0.253026:0.490457:0.236528:0.124595:0.236528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.160543:0.253142:0.172430:0.253142:0.172430:0.236673:0.160543:0.236673:0.000000
Q t:@0.382670:0.253142:0.406173:0.253142:0.406173:0.236673:0.382670:0.236673:0.000000:0.000000:0.000000
t,   t:@0.468535:0.253142:0.507109:0.253138:0.507109:0.236669:0.468535:0.236673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.507109:0.252806:0.523157:0.252806:0.523157:0.238159:0.507109:0.238159:0.000000
:@0.523158:0.252054:0.537068:0.252054:0.537068:0.238607:0.523158:0.238607:0.000000
. Resulta :@0.537068:0.253022:0.599911:0.253022:0.599911:0.236525:0.537068:0.236525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que   es un polinomio de grado 1. :@0.131977:0.270373:0.382712:0.270373:0.382712:0.253875:0.131977:0.253875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.163129:0.270489:0.175016:0.270489:0.175016:0.254020:0.163129:0.254020:0.000000
 :@0.108242:0.287724:0.112384:0.287724:0.112384:0.271226:0.108242:0.271226:0.000000
Los coeficientes de  ( ) son   = 3,   = 8. :@0.131976:0.287724:0.430432:0.287724:0.430432:0.271226:0.131976:0.271226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q t:@0.270164:0.287840:0.293668:0.287840:0.293668:0.271371:0.270164:0.271371:0.000000:0.000000:0.000000
a:@0.333604:0.287840:0.342582:0.287840:0.342582:0.271371:0.333604:0.271371:0.000000
0:@0.342581:0.291001:0.347534:0.291001:0.347534:0.281382:0.342581:0.281382:0.000000
a:@0.382017:0.287840:0.390995:0.287840:0.390995:0.271371:0.382017:0.271371:0.000000
1:@0.390995:0.291001:0.395948:0.291001:0.395948:0.281382:0.390995:0.281382:0.000000
 :@0.108240:0.305075:0.112382:0.305075:0.112382:0.288577:0.108240:0.288577:0.000000
Calculemos algunos valores  ( ) para :@0.131975:0.305075:0.414093:0.305075:0.414093:0.288577:0.131975:0.288577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q t:@0.341654:0.305190:0.365932:0.305190:0.365932:0.288722:0.341654:0.288722:0.000000:0.000000:0.000000
t:@0.414478:0.305190:0.420142:0.305190:0.420142:0.288722:0.414478:0.288722:0.000000
:@0.420530:0.304858:0.436578:0.304858:0.436578:0.290211:0.420530:0.290211:0.000000
:@0.436964:0.304106:0.450873:0.304106:0.450873:0.290659:0.436964:0.290659:0.000000
.:@0.451258:0.305075:0.454013:0.305075:0.454013:0.288577:0.451258:0.288577:0.000000
Q:@0.131975:0.322541:0.143861:0.322541:0.143861:0.306072:0.131975:0.306072:0.000000
(0) = 3 + 8 × 0 = 3, :@0.143669:0.322425:0.277658:0.322425:0.277658:0.305928:0.143669:0.305928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108240:0.339776:0.112382:0.339776:0.112382:0.323278:0.108240:0.323278:0.000000
Q:@0.131975:0.339892:0.143861:0.339892:0.143861:0.323423:0.131975:0.323423:0.000000
(8) = 3 + 8 × 8 = 67, :@0.143669:0.339776:0.285962:0.339776:0.285962:0.323278:0.143669:0.323278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108240:0.357127:0.112382:0.357127:0.112382:0.340629:0.108240:0.340629:0.000000
Q:@0.131975:0.357243:0.143861:0.357243:0.143861:0.340774:0.131975:0.340774:0.000000
(50) = 3 + 8 × 50 = 403.:@0.143669:0.357127:0.306730:0.357127:0.306730:0.340629:0.143669:0.340629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.:@0.108240:0.383500:0.120512:0.383500:0.120512:0.366786:0.108240:0.366786:0.000000:0.000000
   El polinomio  ( ) =15  + 208t ,   :@0.120512:0.383283:0.354166:0.383279:0.354166:0.366781:0.120512:0.366786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R t:@0.224737:0.383398:0.245929:0.383398:0.245929:0.366929:0.224737:0.366929:0.000000:0.000000:0.000000
t:@0.282648:0.383398:0.288312:0.383398:0.288312:0.366929:0.282648:0.366929:0.000000
2:@0.336771:0.376926:0.341724:0.376926:0.341724:0.367308:0.336771:0.367308:0.000000
t:@0.363659:0.383394:0.369323:0.383394:0.369323:0.366926:0.363659:0.366926:0.000000
:@0.369323:0.383062:0.385370:0.383062:0.385370:0.368415:0.369323:0.368415:0.000000
:@0.385370:0.382310:0.399279:0.382310:0.399279:0.368863:0.385370:0.368863:0.000000
 es un polinomio de grado 2. :@0.399279:0.383279:0.599921:0.383279:0.599921:0.366781:0.399279:0.366781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.595765:0.383279:0.599908:0.383279:0.599908:0.366781:0.595765:0.366781:0.000000
Sus coeficientes son   = 0,   =15,   = 208.:@0.131974:0.400630:0.440529:0.400630:0.440529:0.384132:0.131974:0.384132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.278078:0.400745:0.287055:0.400745:0.287055:0.384276:0.278078:0.384276:0.000000
0:@0.287058:0.403906:0.292011:0.403906:0.292011:0.394288:0.287058:0.394288:0.000000
a:@0.326497:0.400745:0.335474:0.400745:0.335474:0.384276:0.326497:0.384276:0.000000
1:@0.335473:0.403906:0.340426:0.403906:0.340426:0.394288:0.335473:0.394288:0.000000
a:@0.379265:0.400745:0.388243:0.400745:0.388243:0.384276:0.379265:0.384276:0.000000
2:@0.388241:0.403906:0.393194:0.403906:0.393194:0.394288:0.388241:0.394288:0.000000
 :@0.108242:0.417980:0.112384:0.417980:0.112384:0.401483:0.108242:0.401483:0.000000
Utilicemos el esquema de Hörner para calcular algunos va-:@0.131978:0.417980:0.595768:0.417980:0.595768:0.401483:0.131978:0.401483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lores de  ( ) con :@0.131978:0.435331:0.262384:0.435331:0.262384:0.418833:0.131978:0.418833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R t:@0.197133:0.435447:0.218325:0.435447:0.218325:0.418978:0.197133:0.418978:0.000000:0.000000:0.000000
t :@0.265255:0.435447:0.275061:0.435447:0.275061:0.418978:0.265255:0.418978:0.000000:0.000000
 :@0.277931:0.435114:0.298796:0.435114:0.298796:0.420467:0.277931:0.420467:0.000000:0.000000
:@0.302129:0.434362:0.316038:0.434362:0.316038:0.420915:0.302129:0.420915:0.000000
. Tenemos  ( ) =  (15 + 208 ). Luego,  :@0.316036:0.435331:0.599891:0.435331:0.599891:0.418833:0.316036:0.418833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R t:@0.397490:0.435447:0.418682:0.435447:0.418682:0.418978:0.397490:0.418978:0.000000:0.000000:0.000000
t:@0.449468:0.435447:0.455132:0.435447:0.455132:0.418978:0.449468:0.418978:0.000000
t:@0.528397:0.435447:0.534061:0.435447:0.534061:0.418978:0.528397:0.418978:0.000000
R:@0.131957:0.452797:0.141532:0.452797:0.141532:0.436329:0.131957:0.436329:0.000000
(1) = 1 × (15 + 208 × 1) = 223, :@0.141532:0.452682:0.361156:0.452682:0.361156:0.436184:0.141532:0.436184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108223:0.470033:0.112365:0.470033:0.112365:0.453535:0.108223:0.453535:0.000000
R:@0.131958:0.470148:0.141533:0.470148:0.141533:0.453679:0.131958:0.453679:0.000000
(20) = 20 × (15 + 208 × 20) = 20 × (15 + 4 160) = 20 × 4 175 = 83 500.:@0.140955:0.470033:0.595748:0.470033:0.595748:0.453535:0.140955:0.453535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.  :@0.108223:0.496406:0.128664:0.496405:0.128664:0.479691:0.108223:0.479691:0.000000:0.000000:0.000000:0.000000
Dado  ( ) = 3 + 2  – 8  – 7 ,  :@0.131958:0.496188:0.347583:0.496184:0.347583:0.479687:0.131958:0.479691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.175478:0.496304:0.195880:0.496304:0.195880:0.479835:0.175478:0.479835:0.000000:0.000000:0.000000
t:@0.256161:0.496304:0.261825:0.496304:0.261825:0.479835:0.256161:0.479835:0.000000
t:@0.288681:0.496304:0.294345:0.496304:0.294345:0.479835:0.288681:0.479835:0.000000
2:@0.294337:0.489831:0.299290:0.489831:0.299290:0.480213:0.294337:0.480213:0.000000
t:@0.326147:0.496300:0.331811:0.496300:0.331811:0.479831:0.326147:0.479831:0.000000
3:@0.331804:0.489831:0.336757:0.489831:0.336757:0.480213:0.331804:0.480213:0.000000
 :@0.347371:0.496734:0.352187:0.496734:0.352187:0.477894:0.347371:0.477894:0.000000
t:@0.362601:0.496300:0.368265:0.496300:0.368265:0.479831:0.362601:0.479831:0.000000
:@0.368265:0.495968:0.384313:0.495968:0.384313:0.481321:0.368265:0.481321:0.000000
:@0.384314:0.495216:0.398224:0.495216:0.398224:0.481769:0.384314:0.481769:0.000000
, observamos que este es un :@0.398224:0.496184:0.599929:0.496184:0.599929:0.479687:0.398224:0.479687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polinomio de grado 3, ordenado de forma creciente con respecto :@0.131978:0.513535:0.599867:0.513535:0.599867:0.497037:0.131978:0.497037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las potencias de  .:@0.131978:0.530886:0.279567:0.530886:0.279567:0.514388:0.131978:0.514388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.271148:0.531002:0.276812:0.531002:0.276812:0.514533:0.271148:0.514533:0.000000
 :@0.108243:0.548237:0.112385:0.548237:0.112385:0.531739:0.108243:0.531739:0.000000
Mediante el esquema de Hörner, la escritura de  ( ) es :@0.131978:0.548237:0.520050:0.548237:0.520050:0.531739:0.131978:0.531739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.471041:0.548352:0.491442:0.548352:0.491442:0.531884:0.471041:0.531884:0.000000:0.000000:0.000000
 :@0.108243:0.565587:0.112385:0.565587:0.112385:0.549090:0.108243:0.549090:0.000000
P t:@0.131978:0.565703:0.152380:0.565703:0.152380:0.549234:0.131978:0.549234:0.000000:0.000000:0.000000
( ) = 3 +  (2 +  (–8 – 7 )). Calculemos algunos valores de  ( )::@0.140763:0.565587:0.576963:0.565587:0.576963:0.549090:0.140763:0.549090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.205012:0.565703:0.210676:0.565703:0.210676:0.549234:0.205012:0.549234:0.000000
t:@0.244217:0.565703:0.249881:0.565703:0.249881:0.549234:0.244217:0.549234:0.000000
t:@0.302109:0.565703:0.307773:0.565703:0.307773:0.549234:0.302109:0.549234:0.000000
P t:@0.547853:0.565703:0.568255:0.565703:0.568255:0.549234:0.547853:0.549234:0.000000:0.000000:0.000000
 :@0.108243:0.583155:0.112327:0.583155:0.112327:0.566440:0.108243:0.566440:0.000000
P:@0.131978:0.583054:0.140763:0.583054:0.140763:0.566585:0.131978:0.566585:0.000000
(0) = 3 + 0(2 + 0(–8 – 7 × 0)) = 3,:@0.140763:0.582938:0.380442:0.582938:0.380442:0.566440:0.140763:0.566440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108243:0.600289:0.112385:0.600289:0.112385:0.583791:0.108243:0.583791:0.000000
P:@0.131978:0.600405:0.140763:0.600405:0.140763:0.583936:0.131978:0.583936:0.000000
(–2) = 3 + (–2)(2 + (–2)(–8 – 7(–2))) =23,:@0.140763:0.600289:0.443420:0.600289:0.443420:0.583791:0.140763:0.583791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108243:0.617640:0.112385:0.617640:0.112385:0.601142:0.108243:0.601142:0.000000
P:@0.131978:0.617755:0.140763:0.617755:0.140763:0.601287:0.131978:0.601287:0.000000
(–10) = 3 + (–10)(2 + (–10)(–8 –7(–10))) = 6 183,:@0.140763:0.617640:0.498538:0.617640:0.498538:0.601142:0.140763:0.601142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108243:0.634990:0.112385:0.634990:0.112385:0.618493:0.108243:0.618493:0.000000
P:@0.131978:0.635106:0.140763:0.635106:0.140763:0.618637:0.131978:0.618637:0.000000
(5) = 3 + 5(2 + 5(–8 – 7 × 5)) = – 1 062.:@0.140763:0.634990:0.424713:0.634990:0.424713:0.618493:0.140763:0.618493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5. :@0.108243:0.661364:0.124598:0.661363:0.124598:0.644648:0.108243:0.644649:0.000000:0.000000:0.000000
Consideremos el polinomio  ( ) siguiente:  ( ) = 1 + 2  + 5  + 4  + :@0.131978:0.661146:0.599908:0.661142:0.599908:0.644645:0.131978:0.644648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.324804:0.661262:0.344435:0.661262:0.344435:0.644793:0.324804:0.644793:0.000000:0.000000:0.000000
P t:@0.420475:0.661262:0.440106:0.661262:0.440106:0.644793:0.420475:0.644793:0.000000:0.000000:0.000000
t:@0.500233:0.661262:0.505897:0.661262:0.505897:0.644793:0.500233:0.644793:0.000000
t:@0.532984:0.661262:0.538648:0.661262:0.538648:0.644793:0.532984:0.644793:0.000000
2:@0.538277:0.654789:0.543230:0.654789:0.543230:0.645171:0.538277:0.645171:0.000000
t:@0.570479:0.661258:0.576143:0.661258:0.576143:0.644789:0.570479:0.644789:0.000000
3:@0.575761:0.654789:0.580714:0.654789:0.580714:0.645171:0.575761:0.645171:0.000000
7 ,  :@0.131974:0.678493:0.162019:0.678493:0.162019:0.661995:0.131974:0.661995:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.140084:0.678609:0.145748:0.678609:0.145748:0.662140:0.140084:0.662140:0.000000
4:@0.145366:0.672140:0.150320:0.672140:0.150320:0.662522:0.145366:0.662522:0.000000
t:@0.173588:0.678609:0.179251:0.678609:0.179251:0.662140:0.173588:0.662140:0.000000
:@0.178866:0.678276:0.194914:0.678276:0.194914:0.663629:0.178866:0.663629:0.000000
:@0.194528:0.677524:0.208438:0.677524:0.208438:0.664077:0.194528:0.664077:0.000000
. Escribamos  ( ) en la forma del esquema de Hörner: :@0.208052:0.678493:0.599865:0.678493:0.599865:0.661995:0.208052:0.661995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P t:@0.302007:0.678609:0.322409:0.678609:0.322409:0.662140:0.302007:0.662140:0.000000:0.000000:0.000000
P t:@0.131974:0.695959:0.152376:0.695959:0.152376:0.679491:0.131974:0.679491:0.000000:0.000000:0.000000
( ) =1 +  (2 +  (5 +  (4 + 7 ))),   :@0.140759:0.695844:0.364139:0.695844:0.364139:0.679346:0.140759:0.679346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.200866:0.695959:0.206530:0.695959:0.206530:0.679491:0.200866:0.679491:0.000000
t:@0.239686:0.695959:0.245350:0.695959:0.245350:0.679491:0.239686:0.679491:0.000000
t:@0.278505:0.695959:0.284169:0.695959:0.284169:0.679491:0.278505:0.679491:0.000000
t:@0.325821:0.695959:0.331485:0.695959:0.331485:0.679491:0.325821:0.679491:0.000000
t:@0.374807:0.695959:0.380471:0.695959:0.380471:0.679491:0.374807:0.679491:0.000000
:@0.380471:0.695627:0.396519:0.695627:0.396519:0.680980:0.380471:0.680980:0.000000
:@0.396520:0.694875:0.410430:0.694875:0.410430:0.681428:0.396520:0.681428:0.000000
.:@0.410430:0.695844:0.413184:0.695844:0.413184:0.679346:0.410430:0.679346:0.000000
 :@0.108235:0.713195:0.112377:0.713195:0.112377:0.696697:0.108235:0.696697:0.000000
Por ejemplo, para   =10 , tenemos:@0.131970:0.713195:0.370472:0.713195:0.370472:0.696697:0.131970:0.696697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.259985:0.713310:0.265649:0.713310:0.265649:0.696841:0.259985:0.696841:0.000000
P:@0.131970:0.730661:0.140754:0.730661:0.140754:0.714192:0.131970:0.714192:0.000000
(10) = 1 + 10(2 + 10(5 + 10(4 + 7 × 10))) =1 + 10(2 + 10(5 + 10 × 74)):@0.140177:0.730545:0.595665:0.730545:0.595665:0.714048:0.140177:0.714048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108235:0.747896:0.112377:0.747896:0.112377:0.731398:0.108235:0.731398:0.000000
=1 + 10(2 + 10 × 745) =1 + 10 × 745 274 521 = 74 521.:@0.131970:0.747896:0.520261:0.747896:0.520261:0.731398:0.131970:0.731398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108235:0.765247:0.112377:0.765247:0.112377:0.748749:0.108235:0.748749:0.000000
Obsérvese que el cálculo de  (10) se inicia desde el paréntesis más :@0.131970:0.765247:0.599878:0.765247:0.599878:0.748749:0.131970:0.748749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.331690:0.765362:0.340475:0.765362:0.340475:0.748894:0.331690:0.748894:0.000000
interno hacia los más externos.:@0.131970:0.782598:0.350283:0.782598:0.350283:0.766100:0.131970:0.766100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6. :@0.108235:0.808971:0.124591:0.808971:0.124591:0.792256:0.108235:0.792256:0.000000:0.000000:0.000000
  Sea   el polinomio definido como  ( ) = :@0.124590:0.808753:0.421738:0.808753:0.421738:0.792256:0.124590:0.792256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.159769:0.808869:0.168554:0.808869:0.168554:0.792400:0.159769:0.792400:0.000000
P x:@0.374943:0.808869:0.397156:0.808869:0.397156:0.792400:0.374943:0.792400:0.000000:0.000000:0.000000
x  + x  + x  + x:@0.421276:0.808869:0.520693:0.808865:0.520693:0.792396:0.421276:0.792400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.428703:0.802396:0.433656:0.802396:0.433656:0.792778:0.428703:0.792778:0.000000
4:@0.459362:0.802396:0.464315:0.802396:0.464315:0.792778:0.459362:0.792778:0.000000
5:@0.490020:0.802396:0.494973:0.802396:0.494973:0.792778:0.490020:0.792778:0.000000
6       :@0.520680:0.802396:0.545201:0.802396:0.545201:0.792778:0.520680:0.792778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.525632:0.808749:0.532529:0.808749:0.532529:0.792252:0.525632:0.792252:0.000000:0.000000
x:@0.555581:0.808865:0.563056:0.808865:0.563056:0.792396:0.555581:0.792396:0.000000
:@0.563056:0.808533:0.579104:0.808533:0.579104:0.793886:0.563056:0.793886:0.000000
:@0.579104:0.807781:0.593014:0.807781:0.593014:0.794334:0.579104:0.794334:0.000000
. :@0.593014:0.808749:0.599911:0.808749:0.599911:0.792252:0.593014:0.792252:0.000000:0.000000
Apliquemos el esquema de Hörner. Entonces tenemos:@0.131977:0.826100:0.517259:0.826100:0.517259:0.809603:0.131977:0.809603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P x:@0.131970:0.843567:0.151268:0.843567:0.151268:0.827098:0.131970:0.827098:0.000000:0.000000:0.000000
( ) = :@0.139529:0.843451:0.172057:0.843451:0.172057:0.826953:0.139529:0.826953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  + x  + x  + x:@0.171346:0.843567:0.256435:0.843567:0.256435:0.827098:0.171346:0.827098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.177732:0.837098:0.182190:0.837098:0.182190:0.827480:0.177732:0.827480:0.000000
4:@0.203851:0.837098:0.208309:0.837098:0.208309:0.827480:0.203851:0.827480:0.000000
5:@0.229969:0.837098:0.234427:0.837098:0.234427:0.827480:0.229969:0.827480:0.000000
6:@0.256088:0.837098:0.260546:0.837098:0.260546:0.827480:0.256088:0.827480:0.000000
 = :@0.260343:0.843451:0.276468:0.843451:0.276468:0.826953:0.260343:0.826953:0.000000:0.000000:0.000000
x  + x:@0.275757:0.843567:0.308602:0.843567:0.308602:0.827098:0.275757:0.827098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.282136:0.837098:0.286594:0.837098:0.286594:0.827480:0.282136:0.827480:0.000000
4:@0.308255:0.837098:0.312713:0.837098:0.312713:0.827480:0.308255:0.827480:0.000000
(1 +x(1 +  )):@0.312510:0.843451:0.391557:0.843451:0.391557:0.826953:0.312510:0.826953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.337218:0.843567:0.340946:0.843567:0.340946:0.827098:0.337218:0.827098:0.000000
x  = x  + x + x  + x:@0.374808:0.843567:0.524451:0.843567:0.524451:0.827098:0.374808:0.827098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.413071:0.837098:0.417529:0.837098:0.417529:0.827480:0.413071:0.827480:0.000000
(1:@0.417327:0.843451:0.429984:0.843451:0.429984:0.826953:0.417327:0.826953:0.000000:0.000000
2:@0.451500:0.837098:0.455958:0.837098:0.455958:0.827480:0.451500:0.827480:0.000000
(1  (1:@0.455755:0.843451:0.502587:0.843451:0.502587:0.826953:0.455755:0.826953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
))) ,  :@0.524104:0.843451:0.551031:0.843451:0.551031:0.826953:0.524104:0.826953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.560640:0.843567:0.567367:0.843567:0.567367:0.827098:0.560640:0.827098:0.000000
:@0.567021:0.843234:0.581464:0.843234:0.581464:0.828587:0.567021:0.828587:0.000000
:@0.581116:0.842482:0.593635:0.842482:0.593635:0.829035:0.581116:0.829035:0.000000
.:@0.593289:0.843451:0.595768:0.843451:0.595768:0.826953:0.593289:0.826953:0.000000
Calculemos (2) y  (5) usando este esquema. De esta manera, :@0.131968:0.860802:0.599863:0.860802:0.599863:0.844304:0.131968:0.844304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.222418:0.860917:0.231203:0.860917:0.231203:0.844449:0.222418:0.844449:0.000000
P:@0.271679:0.860917:0.280464:0.860917:0.280464:0.844449:0.271679:0.844449:0.000000
tenemos::@0.131968:0.878152:0.198587:0.878152:0.198587:0.861655:0.131968:0.861655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P 2:@0.174544:0.895619:0.196198:0.895619:0.196198:0.879150:0.174544:0.879150:0.000000:0.000000:0.000000
( ) = 2 (1 + 2 (1 + 2(1 + 2)))  2 (1 + 2 (1 + 2 × 3)) =  :@0.182751:0.895503:0.536583:0.895503:0.536583:0.879006:0.182751:0.879006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.226274:0.889150:0.231227:0.889150:0.231227:0.879532:0.226274:0.879532:0.000000
2:@0.269458:0.889150:0.274411:0.889150:0.274411:0.879532:0.269458:0.879532:0.000000
= :@0.370901:0.895619:0.385350:0.895619:0.385350:0.879150:0.370901:0.879150:0.000000:0.000000
2:@0.392687:0.889150:0.397640:0.889150:0.397640:0.879532:0.392687:0.879532:0.000000
2:@0.435871:0.889150:0.440825:0.889150:0.440825:0.879532:0.435871:0.879532:0.000000
2 (1 + 4 × 7) = 4 × 29 = 116,:@0.271821:0.912854:0.455920:0.912854:0.455920:0.896356:0.271821:0.896356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.279746:0.906501:0.284699:0.906501:0.284699:0.896883:0.279746:0.896883:0.000000
P 5:@0.132687:0.930320:0.154342:0.930320:0.154342:0.913852:0.132687:0.913852:0.000000:0.000000:0.000000
( ) = 5 (1 + 5 (1 + 5(1 + 5))) = 5 (1 + 5 (1 + 30)) = 5 (1 + 25 × 31) :@0.140894:0.930205:0.575456:0.930204:0.575456:0.913707:0.140894:0.913707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.184415:0.923852:0.189368:0.923852:0.189368:0.914234:0.184415:0.914234:0.000000
2:@0.227599:0.923852:0.232552:0.923852:0.232552:0.914234:0.227599:0.914234:0.000000
2:@0.350752:0.923852:0.355706:0.923852:0.355706:0.914234:0.350752:0.914234:0.000000
2:@0.393937:0.923852:0.398890:0.923852:0.398890:0.914234:0.393937:0.914234:0.000000
2:@0.481064:0.923852:0.486018:0.923852:0.486018:0.914234:0.481064:0.914234:0.000000
= 25 × 776 = 19 400.:@0.296861:0.947555:0.430870:0.947555:0.430870:0.931057:0.296861:0.931057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.684271:0.543885:0.826623:0.543885:0.826623:0.528413:0.684271:0.528413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para calcular operacio-:@0.684509:0.572513:0.831491:0.572513:0.831491:0.557450:0.684509:0.557450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nes combinadas, donde existen :@0.637966:0.588355:0.844997:0.588355:0.844997:0.573292:0.637966:0.573292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
varios signos de agrupación, :@0.637966:0.604197:0.822116:0.604197:0.822116:0.589134:0.637966:0.589134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puedes utilizar la calculadora :@0.637966:0.620039:0.829201:0.620039:0.829201:0.604976:0.637966:0.604976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
científica.:@0.637966:0.635881:0.699248:0.635881:0.699248:0.620818:0.637966:0.620818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga resume:@0.637971:0.788345:0.752005:0.788345:0.752005:0.772872:0.637971:0.772872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.685603:0.787922:0.700308:0.787922:0.700308:0.772859:0.685603:0.772859:0.000000:0.000000:0.000000
 cómo se :@0.752005:0.787922:0.814801:0.787922:0.814801:0.772859:0.752005:0.772859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resuelven operaciones com-:@0.637971:0.803764:0.819676:0.803764:0.819676:0.788701:0.637971:0.788701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
binadas con varios signos de :@0.637971:0.819606:0.825283:0.819606:0.825283:0.804543:0.637971:0.804543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agrupación, utilizando una :@0.637971:0.835448:0.813922:0.835448:0.813922:0.820385:0.637971:0.820385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calculadora científica.:@0.637971:0.851290:0.777739:0.851290:0.777739:0.836227:0.637971:0.836227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 73329937:@0.869906:0.763389:0.869906:0.698543:0.858437:0.698543:0.858437:0.763389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.685849:0.104916:0.783472:0.104916:0.783472:0.089444:0.685849:0.089444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.685849:0.117484:0.769912:0.117484:0.769912:0.102012:0.685849:0.102012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al conjunto constituido:@0.686087:0.141959:0.841579:0.141959:0.841579:0.126896:0.686087:0.126896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por todos los polinomios en   :@0.639544:0.157801:0.843795:0.157801:0.843795:0.142738:0.639544:0.142738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.827314:0.156916:0.840014:0.156916:0.840014:0.144639:0.827314:0.144639:0.000000
con coeficientes en   lo deno-:@0.639544:0.173643:0.839683:0.173643:0.839683:0.158580:0.639544:0.158580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.768369:0.172758:0.781069:0.172758:0.781069:0.160481:0.768369:0.160481:0.000000
tamos con :@0.639544:0.189881:0.712681:0.189881:0.712681:0.174818:0.639544:0.174818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[ ]:@0.725447:0.192066:0.754610:0.192066:0.754610:0.171204:0.725447:0.171204:0.000000:0.000000:0.000000
 :@0.713765:0.193747:0.747538:0.193747:0.747538:0.172237:0.713765:0.172237:0.000000:0.000000:0.000000
.:@0.754477:0.189882:0.756992:0.189882:0.756992:0.174819:0.754477:0.174819:0.000000
Asumiremos que cada elemen-:@0.639544:0.221566:0.837094:0.221566:0.837094:0.206503:0.639544:0.206503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
to está ordenado de forma :@0.639544:0.237408:0.816744:0.237408:0.816744:0.222345:0.639544:0.222345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente o decreciente con :@0.639544:0.253250:0.822672:0.253250:0.822672:0.238187:0.639544:0.238187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respecto de las potencias de :@0.639544:0.269092:0.826452:0.269092:0.826452:0.254029:0.639544:0.254029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t :@0.826452:0.269198:0.835405:0.269198:0.835405:0.254161:0.826452:0.254161:0.000000:0.000000
de la variable, en nuestro caso:@0.639544:0.284934:0.832907:0.284934:0.832907:0.269871:0.639544:0.269871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 t.:@0.832907:0.285040:0.844798:0.285040:0.844798:0.270003:0.832907:0.270003:0.000000:0.000000:0.000000
El polinomio   se dice de grado :@0.639544:0.316618:0.841422:0.316618:0.841422:0.301555:0.639544:0.301555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.726384:0.316724:0.734405:0.316724:0.734405:0.301687:0.726384:0.301687:0.000000
1 si :@0.639544:0.332460:0.662639:0.332460:0.662639:0.317397:0.639544:0.317397:0.000000:0.000000:0.000000:0.000000:0.000000
grad P:@0.662288:0.332566:0.702393:0.332566:0.702393:0.317529:0.662288:0.317529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = 1, de grado 2 si :@0.689288:0.332460:0.822549:0.332460:0.822549:0.317397:0.689288:0.317397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grad  P:@0.639544:0.348408:0.685190:0.348408:0.685190:0.333371:0.639544:0.333371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = 2, de tercer grado si   :@0.671733:0.348302:0.849936:0.348302:0.849936:0.333239:0.671733:0.333239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.837605:0.348408:0.846154:0.348408:0.846154:0.333371:0.837605:0.333371:0.000000
= 3, y así sucesivamente.:@0.639544:0.364144:0.795866:0.364144:0.795866:0.349081:0.639544:0.349081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analiza responde:@0.639544:0.396250:0.772100:0.396250:0.772100:0.380778:0.639544:0.380778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.691874:0.395828:0.706579:0.395828:0.706579:0.380765:0.691874:0.380765:0.000000:0.000000:0.000000
: la siguien-:@0.772102:0.395828:0.842761:0.395828:0.842761:0.380765:0.772102:0.380765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
te expresión algebraica es o no :@0.639544:0.411670:0.841491:0.411670:0.841491:0.396607:0.639544:0.396607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un polinomio. :@0.639544:0.427512:0.735232:0.427512:0.735232:0.412449:0.639544:0.412449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Justifica:@0.735232:0.427934:0.791115:0.427934:0.791115:0.412462:0.735232:0.412462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.791117:0.427512:0.793632:0.427512:0.793632:0.412449:0.791117:0.412449:0.000000
+:@0.669703:0.454495:0.639803:0.454495:0.639803:0.438214:0.669703:0.438214:0.000000
+:@0.710179:0.454495:0.680280:0.454495:0.680280:0.438214:0.710179:0.438214:0.000000
5:@0.681590:0.453859:0.690086:0.453859:0.690086:0.437361:0.681590:0.437361:0.000000
4:@0.722894:0.453859:0.731390:0.453859:0.731390:0.437361:0.722894:0.437361:0.000000
3:@0.701794:0.445823:0.706711:0.445823:0.706711:0.436274:0.701794:0.436274:0.000000
x:@0.655186:0.453974:0.662661:0.453974:0.667489:0.437506:0.660014:0.437506:0.000000
x:@0.689941:0.453974:0.697416:0.453974:0.702243:0.437506:0.694768:0.437506:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000