{"id":33827,"date":"2015-03-26T17:34:18","date_gmt":"2015-03-26T20:34:18","guid":{"rendered":"http:\/\/clubes.obmep.org.br\/blog\/?page_id=33827"},"modified":"2023-03-21T21:34:04","modified_gmt":"2023-03-22T00:34:04","slug":"problema-de-gincana-fracionando-dinheiro","status":"publish","type":"page","link":"https:\/\/clubes.obmep.org.br\/blog\/problema-de-gincana-fracionando-dinheiro\/","title":{"rendered":".Problema de Gincana: Fatora\u00e7\u00e3o"},"content":{"rendered":"<p style=\"margin:10px\">\n<div class=\"g1n\">\n<p class=\"tit\" style=\"line-height:25px;margin:10px\">Problema<\/p>\n<hr style=\"height:1px; width:100%;background-color:#800000; margin-top: 10px; margin-bottom: 20px;border: 0 none\"\/>\n A express\u00e3o [tex]\\;x^{18}+2x^{17}+x^{16}\\;[\/tex] \u00e9 igual a:<\/p>\n<p><strong>a)<\/strong> [tex]x^{16}  (x+1)^2[\/tex].<\/p>\n<p><strong>b)<\/strong> [tex]x^{4}  (x+1)^2[\/tex].<\/p>\n<p><strong>c)<\/strong> [tex]x^{8}  (x+1)^2[\/tex].<\/p>\n<p><strong>d)<\/strong> [tex]x^{12}  (x+1)^2[\/tex].<\/p>\n<p><strong>e)<\/strong> Nenhuma das respostas anteriores.<\/p>\n<p style=\"margin:20px\">\n<\/div>\n<p style=\"margin:40px\">\n<div class=\"g1n\">\n<p class=\"tit\" style=\"line-height:25px;margin:10px\">Solu\u00e7\u00e3o<\/p>\n<hr style=\"height:1px; width:100%;background-color:#800000; margin-top: 10px; margin-bottom: 20px;border: 0 none\"\/>\nObserve que:<br \/>\n[tex]\\qquad \\qquad x^{18}+2x^{17}+x^{16} = x^{16}(x^2 + 2x + 1) = x^{16}(x+1)^2[\/tex].<\/p>\n<p style=\"margin:30px\">\n<p>Resposta <strong>a)<\/strong>.<\/p>\n<hr style=\"height:1px; width:100%;background-color:#800000; margin-top: 10px; margin-bottom: 15px;border: 0 none\"\/>\n<p class=\"g2\" style=\"line-height:20px;\">Solu\u00e7\u00e3o elaborada pelos <strong>Moderadores do Blog<\/strong>.<\/p>\n<\/div>\n<p style=\"margin:30px\">\n<div class=\"g3\" style=\"width: 480px;\">\nSegunda Gincana de 2014 &#8211; Clubes de Matem\u00e1tica da OBMEP<br \/>\nN\u00edvel A &#8211; Quest\u00e3o M\u00e9dia<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Problema A express\u00e3o [tex]\\;x^{18}+2x^{17}+x^{16}\\;[\/tex] \u00e9 igual a: a) [tex]x^{16} (x+1)^2[\/tex]. b) [tex]x^{4} (x+1)^2[\/tex]. c) [tex]x^{8} (x+1)^2[\/tex]. d) [tex]x^{12} (x+1)^2[\/tex]. e) Nenhuma das respostas anteriores. Solu\u00e7\u00e3o Observe que: [tex]\\qquad \\qquad x^{18}+2x^{17}+x^{16} = x^{16}(x^2 + 2x + 1) = x^{16}(x+1)^2[\/tex]. Resposta a). Solu\u00e7\u00e3o elaborada pelos Moderadores do Blog. Segunda Gincana de 2014 &#8211; Clubes de Matem\u00e1tica da &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/clubes.obmep.org.br\/blog\/problema-de-gincana-fracionando-dinheiro\/\">Continue lendo<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"closed","template":"template-onecolumn.php","meta":{"footnotes":""},"class_list":["post-33827","page","type-page","status-publish","hentry","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/33827","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/comments?post=33827"}],"version-history":[{"count":19,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/33827\/revisions"}],"predecessor-version":[{"id":185051,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/33827\/revisions\/185051"}],"wp:attachment":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/media?parent=33827"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}