{"id":2451,"date":"2022-05-08T06:27:59","date_gmt":"2022-05-08T06:27:59","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=2451"},"modified":"2022-06-12T19:37:01","modified_gmt":"2022-06-12T19:37:01","slug":"unos-polinomios-muy-especiales","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2022\/05\/08\/unos-polinomios-muy-especiales\/","title":{"rendered":"Unos polinomios muy especiales"},"content":{"rendered":"<pre>Problema 4 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2022 (viernes tarde)\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Encuentra todos los polinomios p(x) con coeficientes reales tales que p(x) + p(y) + p(z) + p(x + y + z) = p(x + y) + p(y + z) + p(x + y) para cualquier terna de n\u00fameros reales x, y, z.<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2022\/05\/246.polinomios.png\" alt=\"\" width=\"300\" height=\"300\" class=\"alignnone size-full wp-image-2452\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2022\/05\/246.polinomios.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2022\/05\/246.polinomios-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2022\/05\/14\/solucion-a-unos-polinomios-muy-especiales\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 4 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2022 (viernes tarde) Se dirige a una edad de: 16-17 a\u00f1os Encuentra todos los polinomios p(x) con coeficientes reales tales que p(x) + p(y) + p(z) + p(x + y + z) = p(x + y) + p(y + z) + p(x + [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242021,1738,2849],"tags":[],"class_list":["post-2451","post","type-post","status-publish","format-standard","hentry","category-olimpiada-matematica-espanola","category-olimpiadas","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2451","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=2451"}],"version-history":[{"count":3,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2451\/revisions"}],"predecessor-version":[{"id":2511,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2451\/revisions\/2511"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=2451"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=2451"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=2451"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}