\nResolu\u00e7\u00e3o<\/b><\/span><\/p>\n
Os polin\u00f3mios seguintes est\u00e3o decompostos em fatores.<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
a)<\/td>\n \\({x^2} – 6x + 9 = {\\left( {x – 3} \\right)^2} = \\left( {x – 3} \\right)\\left( {x – 3} \\right)\\)<\/td>\n<\/tr>\n
b)<\/td>\n \\(4{x^2} + 4x + 1 = {\\left( {2x + 1} \\right)^2} = \\left( {2x + 1} \\right)\\left( {2x + 1} \\right)\\)<\/td>\n<\/tr>\n
c)<\/td>\n \\({a^2} + 2ab + {b^2} = {\\left( {a + b} \\right)^2} = \\left( {a + b} \\right)\\left( {a + b} \\right)\\)<\/td>\n<\/tr>\n
d)<\/td>\n \\({y^2} – 25 = \\left( {y + 5} \\right)\\left( {y – 5} \\right)\\)<\/td>\n<\/tr>\n
e)<\/td>\n \\(4{a^2} – 1 = \\left( {2a + 1} \\right)\\left( {2a – 1} \\right)\\)<\/td>\n<\/tr>\n
f)<\/td>\n \\(8{x^3}y – 2x{y^3} = 2xy\\left( {4{x^2} – {y^2}} \\right) = 2xy\\left( {2x + y} \\right)\\left( {2x – y} \\right)\\)<\/td>\n<\/tr>\n
g)<\/td>\n \\(2{x^2} + 12x + 18 = 2\\left( {{x^2} + 6x + 9} \\right) = 2{\\left( {x + 3} \\right)^2} = 2\\left( {x + 3} \\right)\\left( {x + 3} \\right)\\)<\/td>\n<\/tr>\n
h)<\/td>\n \\(3{a^2}x + 6ax + 3x = 3x\\left( {{a^2} + 2a + 1} \\right) = 3x{\\left( {a + 1} \\right)^2} = 3x\\left( {a + 1} \\right)\\left( {a + 1} \\right)\\)<\/td>\n<\/tr>\n
i)<\/td>\n \\({x^3} – x = x\\left( {{x^2} – 1} \\right) = x\\left( {x + 1} \\right)\\left( {x – 1} \\right)\\)<\/td>\n<\/tr>\n
j)<\/td>\n \\(2a – 16{a^2} = 2a\\left( {1 – 8a} \\right)\\)<\/td>\n<\/tr>\n
k)<\/td>\n \\(x\\left( {x – 1} \\right) + 2\\left( {x – 1} \\right) = \\left( {x – 1} \\right)\\left( {x + 2} \\right)\\)<\/td>\n<\/tr>\n
l)<\/td>\n \\(4\\left( {2b + 1} \\right) – {b^2}\\left( {2b + 1} \\right) = \\left( {2b + 1} \\right)\\left( {4 – {b^2}} \\right) = \\left( {2b + 1} \\right)\\left( {2 + b} \\right)\\left( {2 – b} \\right)\\)<\/td>\n<\/tr>\n
m)<\/td>\n \\({a^2}\\left( {a – 2} \\right) – 2a\\left( {a – 2} \\right) + \\left( {a – 2} \\right) = \\left( {a – 2} \\right)\\left( {{a^2} – 2a + 1} \\right) = \\left( {a – 2} \\right){\\left( {a – 1} \\right)^2} = \\left( {a – 2} \\right)\\left( {a – 1} \\right)\\left( {a – 1} \\right)\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\u00a0<\/p>\n
<< Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"
Enunciado Resolu\u00e7\u00e3o Enunciado Decomp\u00f5e em fatores os polin\u00f3mios seguintes. a) \\({x^2} – 6x + 9\\) b) \\(4{x^2} + 4x + 1\\) c) \\({a^2} + 2ab + {b^2}\\) d) \\({y^2} – 25\\) e) \\(4{a^2} –...<\/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":[424,197,705],"series":[],"class_list":["post-24566","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-decomposicao-em-factores","tag-polinomios"],"views":165,"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\/24566","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=24566"}],"version-history":[{"count":1,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24566\/revisions"}],"predecessor-version":[{"id":24569,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24566\/revisions\/24569"}],"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=24566"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24566"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24566"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24566"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}