{"id":24520,"date":"2023-03-07T13:55:33","date_gmt":"2023-03-07T13:55:33","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24520"},"modified":"2023-03-07T14:42:15","modified_gmt":"2023-03-07T14:42:15","slug":"estabelece-a-correspondencia","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24520","title":{"rendered":"Estabelece a correspond\u00eancia"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24520' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24520' class='GTTabs_curr'><a  id=\"24520_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24520' ><a  id=\"24520_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_24520'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Faz corresponder a cada quadrado do bin\u00f3mio o respetivo polin\u00f3mio escrito na forma reduzida.<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a01\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\\({x^2} + 4x + 4\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a02\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\\({x^2} + 3x + 9\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20%;\">\\({\\left( {x + 3} \\right)^2}\\)<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a0A\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a03\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\\({x^2} + x + \\frac{1}{4}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20%;\">\\({\\left( {x + 2} \\right)^2}\\)<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a0B\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a04\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\\(9 + 12x + 4{x^2}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20%;\">\\({\\left( {3 + 2x} \\right)^2}\\)<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a0C\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a05\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\\({x^2} + \\frac{x}{2} + \\frac{1}{4}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20%;\">\\({\\left( {x + \\frac{1}{2}} \\right)^2}\\)<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a0D\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a06\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\\({x^2} + 6x + 9\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a07\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\\(9 + 6x + 2{x^2}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24520' onClick='GTTabs_show(1,24520)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24520'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>A correspond\u00eancia entre cada quadrado do bin\u00f3mio e o respetivo polin\u00f3mio escrito na forma reduzida \u00e9 a seguinte:<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 20%;\">\\({\\left( {x + 3} \\right)^2}\\)<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a0A\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a06\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\\(\\begin{array}{*{20}{l}}{{{\\left( {x + 3} \\right)}^2}}&amp; = &amp;{{x^2} + 2 \\times x \\times 3 + {3^2}}\\\\{}&amp; = &amp;{{x^2} + 6x + 9}\\end{array}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20%;\">\\({\\left( {x + 2} \\right)^2}\\)<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a0B\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a01\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\\(\\begin{array}{*{20}{l}}{{{\\left( {x + 2} \\right)}^2}}&amp; = &amp;{{x^2} + 2 \\times x \\times 2 + {2^2}}\\\\{}&amp; = &amp;{{x^2} + 4x + 4}\\end{array}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20%;\">\\({\\left( {3 + 2x} \\right)^2}\\)<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a0C\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a04\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\\(\\begin{array}{*{20}{l}}{{{\\left( {3 + 2x} \\right)}^2}}&amp; = &amp;{{3^2} + 2 \\times 3 \\times 2x + {{\\left( {2x} \\right)}^2}}\\\\{}&amp; = &amp;{4{x^2} + 12x + 9}\\end{array}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20%;\">\\({\\left( {x + \\frac{1}{2}} \\right)^2}\\)<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a0D\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\"><span style=\"background-color: #808000; color: #ffffff;\"><strong>\u00a03\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 20%;\">\\(\\begin{array}{*{20}{l}}{{{\\left( {x + \\frac{1}{2}} \\right)}^2}}&amp; = &amp;{{x^2} + 2 \\times x \\times \\frac{1}{2} + {{\\left( {\\frac{1}{2}} \\right)}^2}}\\\\{}&amp; = &amp;{{x^2} + x + \\frac{1}{4}}\\end{array}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00a0<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24520' onClick='GTTabs_show(0,24520)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Faz corresponder a cada quadrado do bin\u00f3mio o respetivo polin\u00f3mio escrito na forma reduzida. \u00a0 \u00a0 \u00a0 \u00a01\u00a0 \\({x^2} + 4x + 4\\) \u00a0 \u00a0 \u00a0 \u00a02\u00a0 \\({x^2} + 3x +&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19172,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,700],"tags":[424,196,194],"series":[],"class_list":["post-24520","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-monomios-e-polinomios","tag-8-o-ano","tag-casos-notaveis","tag-monomios"],"views":95,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat63.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24520","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=24520"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24520\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19172"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24520"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24520"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24520"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24520"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}