{"id":3181,"date":"2024-02-10T16:29:19","date_gmt":"2024-02-10T16:29:19","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3181"},"modified":"2024-02-17T09:42:35","modified_gmt":"2024-02-17T09:42:35","slug":"dos-polinomios-muy-parecidos","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2024\/02\/10\/dos-polinomios-muy-parecidos\/","title":{"rendered":"Dos polinomios muy parecidos"},"content":{"rendered":"<pre>Problema 2 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2024 (viernes)\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Sea P(x) un polinomio de grado 5, y sean a y b dos n\u00fameros reales diferentes de 0.<\/p>\n<p>Supongamos que el resto de P(x) al dividirlo por x\u00b3 + ax + b es igual al resto al dividirlo por x\u00b3 + ax\u00b2 + b.<\/p>\n<p>Determinar el valor de a + b.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3182\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2024\/02\/336.polinomios.png\" alt=\"\" width=\"300\" height=\"300\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2024\/02\/17\/solucion_a_polinomios\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 2 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2024 (viernes) Se dirige a una edad de: 16-17 a\u00f1os Sea P(x) un polinomio de grado 5, y sean a y b dos n\u00fameros reales diferentes de 0. Supongamos que el resto de P(x) al dividirlo por x\u00b3 + ax + b es [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242021,1738,2242029,2849],"tags":[],"class_list":["post-3181","post","type-post","status-publish","format-standard","hentry","category-olimpiada-matematica-espanola","category-olimpiadas","category-ome","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3181","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/users\/4267"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/comments?post=3181"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3181\/revisions"}],"predecessor-version":[{"id":3193,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3181\/revisions\/3193"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3181"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3181"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3181"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}