{"id":24747,"date":"2023-04-02T17:23:44","date_gmt":"2023-04-02T16:23:44","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24747"},"modified":"2023-04-02T17:38:30","modified_gmt":"2023-04-02T16:38:30","slug":"qual-e-o-polinomio-que-deves-adicionar","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24747","title":{"rendered":"Qual \u00e9 o polin\u00f3mio que deves adicionar?"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24747' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24747' class='GTTabs_curr'><a  id=\"24747_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24747' ><a  id=\"24747_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_24747'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Determina, em cada caso, qual \u00e9 o polin\u00f3mio B que deves adicionar a \\[A = 6{x^2} &#8211; 3x + 1\\] para obter:<\/p>\n<ol>\n<li>\\(5x &#8211; 1\\)<\/li>\n<li>\\( &#8211; 5{x^2}\\)<\/li>\n<li>\\(8\\)<\/li>\n<li>\\(2{x^3} + 2x\\)<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24747' onClick='GTTabs_show(1,24747)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24747'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Determina, em cada caso, qual \u00e9 o polin\u00f3mio B que deves adicionar a \\[A = 6{x^2} &#8211; 3x + 1\\] para obter:<\/p>\n<\/blockquote>\n<ol>\n<li>\n<blockquote>\\(5x &#8211; 1\\)<\/blockquote>\n<\/li>\n<li>\n<blockquote>\\( &#8211; 5{x^2}\\)<\/blockquote>\n<\/li>\n<li>\n<blockquote>\\(8\\)<\/blockquote>\n<\/li>\n<li>\n<blockquote>\\(2{x^3} + 2x\\)<\/blockquote>\n<\/li>\n<\/ol>\n<p>\u00a0<\/p>\n<p>Para cada caso, obt\u00e9m-se o seguinte polin\u00f3mio:<\/p>\n<ol>\n<li><br \/>\\[\\begin{array}{*{20}{l}}B&amp; = &amp;{\\left( {5x &#8211; 1} \\right) &#8211; A}\\\\{}&amp; = &amp;{\\left( {5x &#8211; 1} \\right) &#8211; \\left( {6{x^2} &#8211; 3x + 1} \\right)}\\\\{}&amp; = &amp;{ &#8211; 6{x^2} + 8x &#8211; 2}\\end{array}\\]<\/li>\n<li><br \/>\\[\\begin{array}{*{20}{l}}B&amp; = &amp;{\\left( { &#8211; 5{x^2}} \\right) &#8211; A}\\\\{}&amp; = &amp;{\\left( { &#8211; 5{x^2}} \\right) &#8211; \\left( {6{x^2} &#8211; 3x + 1} \\right)}\\\\{}&amp; = &amp;{ &#8211; 11{x^2} + 3x &#8211; 1}\\end{array}\\]<\/li>\n<li><br \/>\\[\\begin{array}{*{20}{l}}B&amp; = &amp;{8 &#8211; A}\\\\{}&amp; = &amp;{8 &#8211; \\left( {6{x^2} &#8211; 3x + 1} \\right)}\\\\{}&amp; = &amp;{ &#8211; 6{x^2} + 3x + 7}\\end{array}\\]<\/li>\n<li><br \/>\\[\\begin{array}{*{20}{l}}B&amp; = &amp;{\\left( {2{x^3} + 2x} \\right) &#8211; A}\\\\{}&amp; = &amp;{\\left( {2{x^3} + 2x} \\right) &#8211; \\left( {6{x^2} &#8211; 3x + 1} \\right)}\\\\{}&amp; = &amp;{2{x^3} &#8211; 6{x^2} + 5x &#8211; 1}\\end{array}\\]<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24747' onClick='GTTabs_show(0,24747)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Determina, em cada caso, qual \u00e9 o polin\u00f3mio B que deves adicionar a \\[A = 6{x^2} &#8211; 3x + 1\\] para obter: \\(5x &#8211; 1\\) \\( &#8211; 5{x^2}\\) \\(8\\) \\(2{x^3} +&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19179,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,700],"tags":[424,195,705],"series":[],"class_list":["post-24747","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-operacoes-com-polinomios","tag-polinomios"],"views":82,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat70.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24747","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=24747"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24747\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19179"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24747"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24747"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24747"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24747"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}