{"id":20510,"date":"2023-11-13T21:07:30","date_gmt":"2023-11-13T18:07:30","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?page_id=20510"},"modified":"2023-12-18T22:59:34","modified_gmt":"2023-12-18T19:59:34","slug":"problem-of-the-month-november-2023","status":"publish","type":"page","link":"https:\/\/w3.bilkent.edu.tr\/en\/problem-of-the-month-november-2023\/","title":{"rendered":"Problem of the Month &#8211; November 2023"},"content":{"rendered":"<p>Let P be a polynomial of degree <em>n<\/em> with real coefficients such that at least <em>n<\/em> of its coefficients coincide and at most one of its coefficients is zero. Given that all <em>n<\/em> roots of P are real numbers find the maximal possible value of <em>n<\/em>.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Correct Solutions by,<\/strong><\/p>\n<ul>\n<li>Toshihiro Shimizu Kawasaki, Japan<\/li>\n<li>Vekin Pirna\u00a0Wisconsin, USA<\/li>\n<li>Ahmet Er\u00e7\u0131kd\u0131\u00a0Ankara Fen Lisesi<\/li>\n<li>Baran Ali T\u00fcl\u00a0Kad\u0131k\u00f6y Anadolu Lisesi<\/li>\n<li>Roger Bengtsson\u00a0Lund, Sweden<\/li>\n<li>Magnus Jakobsson Lund, Sweden<\/li>\n<\/ul>\n<p><strong>Solution:\u00a0<a href=\"http:\/\/www.fen.bilkent.edu.tr\/~cvmath\/Problem\/2311a.pdf\">http:\/\/www.fen.bilkent.edu.tr\/~cvmath\/Problem\/2311a.pdf<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Let P be a polynomial of degree n with real coefficients such that at least n of its coefficients coincide and at most one of its coefficients is zero. Given that all n roots of P are real numbers find the maximal possible value of n. &nbsp; Correct Solutions by, [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/problem-of-the-month-november-2023\/\" rel=\"nofollow\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-20510","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/20510","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/comments?post=20510"}],"version-history":[{"count":3,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/20510\/revisions"}],"predecessor-version":[{"id":20792,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/20510\/revisions\/20792"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=20510"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}