{"id":4051,"date":"2024-08-31T11:19:39","date_gmt":"2024-08-31T15:19:39","guid":{"rendered":"https:\/\/josmfs.net\/?p=4051"},"modified":"2024-08-31T16:04:59","modified_gmt":"2024-08-31T20:04:59","slug":"simple-polynomial-puzzle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2024\/08\/31\/simple-polynomial-puzzle\/","title":{"rendered":"Simple Polynomial Puzzle"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4048\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/08\/Simple-Poly-Fig2.jpg\" alt=\"\" width=\"200\" height=\"218\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/08\/Simple-Poly-Fig2.jpg 399w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/08\/Simple-Poly-Fig2-276x300.jpg 276w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This is a nice little puzzle from the 2024 Math Calendar.<\/p>\n<p>\u201cFind the sum of the coefficients of<\/p>\n<p style=\"text-align: center;\">(1 + <em>x + x<\/em><sup>2<\/sup>)<sup>3 <\/sup>&#8220;<\/p>\n<p style=\"text-align: left;\">As before, recall that all the answers are integer days of the month.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/08\/Simple-Polynomial-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/08\/Simple-Polynomial-Puzzle-231228.pdf\">Simple Polynomial Puzzle<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a nice little puzzle from the 2024 Math Calendar. \u201cFind the sum of the coefficients of (1 + x + x2)3 &#8220; As before, recall that all the answers are integer days of the month. Answer. See the Simple Polynomial Puzzle for a solution.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[133,183],"class_list":["post-4051","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-algebra","tag-math-calendar"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4051","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=4051"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4051\/revisions"}],"predecessor-version":[{"id":4055,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4051\/revisions\/4055"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4051"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4051"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4051"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}