{"id":323,"date":"2023-07-06T08:26:38","date_gmt":"2023-07-06T08:26:38","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e5%9b%a0%e6%95%b0%e5%ae%9a%e7%90%86\/"},"modified":"2023-07-06T08:26:38","modified_gmt":"2023-07-06T08:26:38","slug":"%e5%9b%a0%e6%95%b0%e5%ae%9a%e7%90%86","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e5%9b%a0%e6%95%b0%e5%ae%9a%e7%90%86\/","title":{"rendered":"\u56e0\u6570\u5b9a\u7406"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u56e0\u6570\u5b9a\u7406\u3068\u306f\u4f55\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u56e0\u5b50\u5b9a\u7406\u304c\u591a\u9805\u5f0f\u306e\u5272\u308a\u7b97\u3001\u6839\u306e\u6c42\u3081\u3001\u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u306a\u3069\u306b\u4f7f\u7528\u3055\u308c\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u56e0\u5b50\u5b9a\u7406\u306b\u95a2\u3059\u308b\u30b9\u30c6\u30c3\u30d7\u30d0\u30a4\u30b9\u30c6\u30c3\u30d7\u306e\u6f14\u7fd2\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-teorema-del-factor\"><\/span>\u56e0\u6570\u5b9a\u7406\u3068\u306f\u4f55\u3067\u3059\u304b? <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\">\u6570\u5b66\u3067\u306f\u3001<strong>\u56e0\u6570\u5b9a\u7406\u306f<\/strong>\u3001P(a)=0 \u306e\u5834\u5408\u306b\u9650\u308a\u3001\u591a\u9805\u5f0f P(x) \u304c\u5f62\u5f0f (xa) \u306e\u5225\u306e\u591a\u9805\u5f0f\u3067\u5272\u308a\u5207\u308c\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/theoreme-des-facteurs.jpg\" alt=\"\u56e0\u6570\u5b9a\u7406\" class=\"wp-image-2179\" width=\"247\" height=\"247\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u540c\u69d8\u306b\u3001\u56e0\u5b50\u5b9a\u7406\u306e\u7d50\u679c\u3068\u3057\u3066\u3001\u591a\u9805\u5f0f P(x) \u304c\u9805 (x\u2212a) \u3067\u5272\u308a\u5207\u308c\u308b\u5834\u5408\u3001\u5024 a \u304c\u591a\u9805\u5f0f P( x \u306e\u6839 (\u307e\u305f\u306f\u30bc\u30ed) \u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002 \uff09\u3002<\/p>\n<p> 1 \u3064\u306e\u591a\u9805\u5f0f\u304c\u5225\u306e\u591a\u9805\u5f0f\u3067\u5272\u308a\u5207\u308c\u308b\u3068\u3044\u3046\u3053\u3068\u306f\u30012 \u3064\u306e\u591a\u9805\u5f0f\u9593\u306e\u5272\u308a\u7b97\u306e\u4f59\u308a (\u307e\u305f\u306f\u4f59\u308a) \u304c\u30bc\u30ed\u306b\u7b49\u3057\u3044\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u3053\u306e\u6982\u5ff5\u3092\u5b8c\u5168\u306b\u899a\u3048\u3066\u3044\u306a\u3044\u5834\u5408\u306f\u3001\u6b21\u306e\u30ea\u30f3\u30af\u3067<a href=\"https:\/\/mathority.org\/ja\/\u591a\u9805\u5f0f\u306e\u9664\u7b97\u306e\u4f8b\u984c-\u89e3\u6c7a\u6e08\u307f\u6f14\u7fd2-\u9664\u7b97\/\"><strong><span style=\"text-decoration: underline;\">\u591a\u9805\u5f0f\u306e\u9664\u7b97\u306e\u4f8b\u3092<\/span><\/strong><\/a>\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u3053\u306b\u306f\u3001\u591a\u9805\u5f0f\u306e\u9664\u7b97\u65b9\u6cd5\u306e\u8aac\u660e\u3068\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u308b\u6f14\u7fd2\u3082\u3042\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-del-teorema-del-factor\"><\/span>\u56e0\u5b50\u5b9a\u7406\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u56e0\u5b50\u5b9a\u7406\u306e\u6570\u5b66\u7684\u5b9a\u7fa9\u3092\u7406\u89e3\u3057\u305f\u3068\u3053\u308d\u3067\u3001\u305d\u308c\u304c\u3069\u306e\u3088\u3046\u306b\u9069\u7528\u3055\u308c\u308b\u304b\u3092\u3044\u304f\u3064\u304b\u306e\u4f8b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u4f8b1<\/h3>\n<p>\u56e0\u6570\u5b9a\u7406\u306e\u5fdc\u7528\u306e 1 \u3064\u306f\u3001\u6307\u5b9a\u3055\u308c\u305f\u591a\u9805\u5f0f\u304c<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u4e8c\u9805\u5f0f\/\">\u4e8c\u9805\u5f0f<\/a><\/span><\/strong>\u3067\u5272\u308a\u5207\u308c\u308b\u304b\u3069\u3046\u304b\u3092\u8abf\u3079\u308b\u3053\u3068\u3067\u3059\u3002\u3053\u308c\u3092\u56e0\u5b50\u5b9a\u7406\u3067\u3069\u306e\u3088\u3046\u306b\u884c\u3046\u304b\u4f8b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u591a\u9805\u5f0f P(x) \u304c\u4e8c\u9805 Q(x) \u3067\u5272\u308a\u5207\u308c\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3057\u307e\u3059\u3002\u4e21\u65b9\u3068\u3082\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-67a5b0b8df744da98b4d71433f73c9e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^2-4x+3 \\qquad \\qquad Q(x)=x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"323\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u3001\u9664\u6570\u591a\u9805\u5f0f Q(x) \u306f (xa) \u578b\u306e\u591a\u9805\u5f0f\u3067\u3042\u308b\u305f\u3081\u3001\u56e0\u5b50\u5b9a\u7406\u3092\u9069\u7528\u3057\u3066\u554f\u984c\u3092\u89e3\u6c7a\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001P(x) \u3092 Q(x) \u3067\u9664\u7b97\u3067\u304d\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3059\u308b\u306b\u306f\u3001x=1 \u306e\u5834\u5408\u306e\u591a\u9805\u5f0f P(x) \u306e\u6570\u5024\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u30021 \u306f\u7b26\u53f7\u304c\u5909\u66f4\u3055\u308c\u305f\u9664\u7b97\u591a\u9805\u5f0f\u306e\u72ec\u7acb\u9805\u3067\u3042\u308b\u305f\u3081\u3067\u3059\u3002 :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-00216efc4a2e53b0b38de1175e73a5bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(1) &amp; =1^2-4\\cdot 1+3 \\\\[2ex] &amp; = 1-4+3 \\\\[2ex] &amp; = 0 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"159\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> x = 1 \u306b\u304a\u3051\u308b\u591a\u9805\u5f0f P(x) \u306e\u6570\u5024\u306f\u30bc\u30ed\u306b\u306a\u308b\u305f\u3081\u3001\u56e0\u6570\u5b9a\u7406\u306b\u3088\u308c\u3070\u3001P(x) \u306f Q(x) \u3067\u5272\u308a\u5207\u308c\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u4e21\u65b9\u3067\u5272\u3063\u305f\u4f59\u308a\u306f null \u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p> 2 \u3064\u306e\u591a\u9805\u5f0f\u3092<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u89e3\u6c7a\u3055\u308c\u305f\u30eb\u30fc\u30eb\u306e\u4f8b-\u30eb\u30c3\u30d5\u30a3\u30fc\u30cb\u6f14\u7fd2\/\">\u30eb\u30d5\u30a3\u30cb\u306e\u5b9a\u7406<\/a><\/span><\/strong>\u3067\u9664\u7b97\u3059\u308b\u3053\u3068\u3067\u3001\u5272\u308a\u7b97\u6761\u4ef6\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/theoreme-factoriel-exercices-resolus-pdf.jpg\" alt=\"\u56e0\u5b50\u5b9a\u7406\u3092\u89e3\u304f\u6f14\u7fd2PDF\u30aa\u30f3\u30e9\u30a4\u30f3\" class=\"wp-image-2189\" width=\"172\" height=\"130\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3053\u306e\u4f8b\u304b\u3089\u308f\u304b\u308b\u3088\u3046\u306b\u3001\u56e0\u5b50\u5b9a\u7406\u306f\u5270\u4f59 (\u307e\u305f\u306f\u5270\u4f59) \u5b9a\u7406\u306e\u7279\u6b8a\u306a\u30b1\u30fc\u30b9\u3067\u3059\u3002 <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u5270\u4f59\u5b9a\u7406\u306e\u4f8b\u3068\u6f14\u7fd2\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f\/\">\u5270\u4f59\u5b9a\u7406\u3068<\/a><\/span><\/strong>\u306f\u4f55\u304b\u3092\u8aac\u660e\u3059\u308b\u3053\u306e\u8a18\u4e8b\u3092\u6b8b\u3057\u3066\u304a\u304d\u307e\u3059\u3002\u307e\u305f\u3001\u5270\u4f59\u5b9a\u7406\u3092\u4f7f\u3063\u3066\u89e3\u6c7a\u3055\u308c\u308b\u4f8b\u3084\u6f14\u7fd2\u3082\u7d39\u4ecb\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u5270\u4f59\u5b9a\u7406\u3068\u56e0\u6570\u5b9a\u7406\u306e\u9055\u3044\u3082\u308f\u304b\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u4f8b 2<\/h3>\n<p>\u56e0\u6570\u5b9a\u7406\u306f\u3001\u591a\u9805\u5f0f\u306e\u6839 (\u307e\u305f\u306f\u30bc\u30ed) \u3092\u898b\u3064\u3051\u308b\u305f\u3081\u306b\u4f7f\u7528\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u660e\u3089\u304b\u306b\u3001\u3053\u306e\u7a2e\u306e\u554f\u984c\u3092\u7406\u89e3\u3059\u308b\u306b\u306f\u3001 <a href=\"https:\/\/mathority.org\/ja\/\u591a\u9805\u5f0f\u306e\u6839\/\"><strong><span style=\"text-decoration: underline;\">\u591a\u9805\u5f0f\u306e\u6839\u304c\u4f55\u3067\u3042\u308b\u304b<\/span><\/strong><\/a>\u3092\u77e5\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u6982\u5ff5\u304c\u307e\u3060\u7406\u89e3\u3067\u304d\u306a\u3044\u5834\u5408\u306f\u3001\u30ea\u30f3\u30af\u5148\u306e\u30da\u30fc\u30b8\u3067\u8a73\u3057\u304f\u8aac\u660e\u3055\u308c\u3066\u3044\u307e\u3059\u306e\u3067\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u591a\u9805\u5f0f\u306e\u6839\u3092\u898b\u3064\u3051\u308b\u305f\u3081\u306b\u56e0\u5b50\u5b9a\u7406\u304c\u3069\u306e\u3088\u3046\u306b\u9069\u7528\u3055\u308c\u308b\u304b\u3092\u4f8b\u3092\u901a\u3057\u3066\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u591a\u9805\u5f0f P(x) \u304c\u4e0e\u3048\u3089\u308c\u305f\u5834\u5408\u3001\u305d\u306e\u6839\u306e 1 \u3064\u304c x=2 \u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c3d4052b7ff040dd41473d225569289b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^3-3x^2+5x-6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6570\u5b9a\u7406\u3092\u9069\u7528\u3059\u308b\u3068\u3001\u9805 x=2 \u306f\u3001x=2 \u306e P(x) \u306e\u6570\u5024\u304c 0 \u306e\u5834\u5408\u306b\u306e\u307f\u591a\u9805\u5f0f P(x) \u306e\u6839\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u6570\u5024\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-82d50f0361613cb6c540051f8da4bc20_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(2) &amp; =2^3-3\\cdot 2^2+5\\cdot 2-6 \\\\[2ex] &amp; = 8-3\\cdot 4 +5\\cdot 2 -6\\\\[2ex] &amp; = 8-12+10-6 \\\\[2ex] &amp; = 0\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"219\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5b9f\u969b\u3001\u591a\u9805\u5f0f P(x) \u306e\u6570\u5024\u306f x=2 \u3067\u6d88\u6ec5\u3059\u308b\u305f\u3081\u3001\u56e0\u6570\u5b9a\u7406\u306e\u304a\u304b\u3052\u3067\u3001x=2 \u304c\u591a\u9805\u5f0f P(x) \u306e\u6839\u3067\u3042\u308b\u3068\u65ad\u8a00\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Factorizacion-de-polinomios-utilizando-el-teorema-del-factor\"><\/span>\u56e0\u6570\u5b9a\u7406\u3092\u4f7f\u7528\u3057\u305f\u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u56e0\u6570\u5b9a\u7406\u306e\u3082\u3046 1 \u3064\u306e\u5fdc\u7528\u306f<strong>\u3001\u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3<\/strong>\u3067\u3059\u3002\u305d\u308c\u304c\u4f55\u3067\u3042\u308b\u304b\u308f\u304b\u3089\u306a\u3044\u5834\u5408\u306e\u305f\u3081\u306b\u8aac\u660e\u3059\u308b\u3068\u3001\u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u3068\u306f\u3001\u591a\u9805\u5f0f\u306e\u5f0f\u3092\u56e0\u6570\u306e\u7a4d\u306b\u5909\u63db\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u3068\u3001\u305d\u306e\u4ee3\u6570\u5f0f\u304c\u7c21\u7d20\u5316\u3055\u308c\u307e\u3059\u3002<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\">\u3057\u305f\u304c\u3063\u3066\u3001\u968e\u4e57\u5b9a\u7406\u306f\u3001\u591a\u9805\u5f0f P(x) \u304c\u4e0e\u3048\u3089\u308c\u305f\u5024 a \u306b\u5bfe\u3057\u3066 P(a)=0 \u3092\u6e80\u305f\u3059\u5834\u5408\u3001\u305d\u306e\u591a\u9805\u5f0f\u306e\u5f0f\u3092\u7a4d P(x)=(xa)\u30fbQ( x)\u3001\u3053\u3053\u3067 Q(x) \u306f\u3001\u591a\u9805\u5f0f P(x) \u3092 (xa) \u3067\u9664\u7b97\u3057\u305f\u7d50\u679c\u5f97\u3089\u308c\u308b\u591a\u9805\u5f0f\u3067\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/facteur-theoreme-preuve.jpg\" alt=\"\u56e0\u6570\u5b9a\u7406\u306e\u8a3c\u660e\" class=\"wp-image-2199\" width=\"470\" height=\"157\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4f8b\u3068\u3057\u3066\u3001\u968e\u4e57\u5b9a\u7406\u3092\u4f7f\u7528\u3057\u3066\u6b21\u306e\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8e7291b669031afd3421168b7662c71c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^3+2x^2+4x+8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u524d\u306e\u591a\u9805\u5f0f\u304b\u3089\u3001x=-2 \u306e\u591a\u9805\u5f0f\u306e\u6570\u5024\u304c\u30bc\u30ed\u306b\u7b49\u3057\u3044\u305f\u3081\u3001x=-2 \u304c\u305d\u306e\u6839\u306e 1 \u3064\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d94a4657a385e672badeabd7458b376_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(-2) &amp; =(-2)^3+2\\cdot (-2)^2+4\\cdot (-2)+8 \\\\[2ex] &amp; =-8+2\\cdot 4+4\\cdot (-2)+8 \\\\[2ex] &amp; = -8+8-8+8 \\\\[2ex] &amp; = 0 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"316\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u30eb\u30c3\u30d5\u30a3\u30fc\u30cb\u306e\u898f\u5247\u3092\u4f7f\u7528\u3057\u3066\u3001x \u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u4e8c\u9805\u5f0f\u3068\u3053\u306e\u7b26\u53f7\u304c\u5909\u66f4\u3055\u308c\u305f\u6839\u3001\u3064\u307e\u308a\u56e0\u6570 (x+2) \u306e\u9593\u306e\u591a\u9805\u5f0f P(x) \u3092\u5206\u5272\u3057\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/theoreme-du-facteur-zero.jpg\" alt=\"\u30bc\u30ed\u56e0\u5b50\u5b9a\u7406\u306f\u6b21\u306e\u3088\u3046\u306b\u8ff0\u3079\u3066\u3044\u307e\u3059\u3002\" class=\"wp-image-2201\" width=\"205\" height=\"130\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u591a\u9805\u5f0f\u306e\u9664\u7b97\u306e\u5546\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8787f77c00f3813ff7e93f147ae7a8d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{P(x)}{x+2} =x^2+4\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"113\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u56e0\u5b50\u5b9a\u7406\u304b\u3089\u3001\u56e0\u5b50 (x+2) \u3068\u524d\u306e\u9664\u7b97\u3067\u5f97\u3089\u308c\u305f\u5546\u306e\u4e57\u7b97\u306e\u5f62\u3067\u591a\u9805\u5f0f P(x) \u3092\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2a63580effbfd7304133453960e84843_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = (x+2) \\cdot (x^2+4)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"190\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u591a\u9805\u5f0f P(x) \u3092\u90e8\u5206\u7684\u306b\u56e0\u6570\u5206\u89e3\u3057\u307e\u3057\u305f\u3002\u591a\u9805\u5f0f\u3092\u5b8c\u5168\u306b\u56e0\u6570\u5206\u89e3\u3059\u308b\u306b\u306f\u3001\u3088\u308a\u9577\u3044\u624b\u9806\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u79c1\u305f\u3061\u306f<a href=\"https:\/\/mathority.org\/ja\"><strong><span style=\"text-decoration: underline;\">\u3001\u30eb\u30d5\u30a3\u30cb\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u65b9\u6cd5\u3092<\/span><\/strong><\/a>\u6bb5\u968e\u7684\u306b\u8aac\u660e\u3059\u308b\u30ac\u30a4\u30c9\u3092\u4f5c\u6210\u3057\u307e\u3057\u305f\u3002\u3055\u3089\u306b\u3001\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u3059\u3079\u3066\u306e\u7a2e\u985e\u306e\u56e0\u6570\u5206\u89e3\u3092\u8aac\u660e\u3057\u3001\u89e3\u6c7a\u3055\u308c\u305f\u6f14\u7fd2\u3067\u7df4\u7fd2\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30ea\u30f3\u30af\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u3001\u30bb\u30c3\u30c8\u304b\u3089\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u65b9\u6cd5\u3092\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-del-teorema-del-factor\"><\/span>\u56e0\u6570\u5b9a\u7406\u306e\u554f\u984c\u3092\u89e3\u3044\u305f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b21\u306b\u3001\u56e0\u6570\u5b9a\u7406\u3092\u6bb5\u968e\u7684\u306b\u89e3\u304f\u7df4\u7fd2\u554f\u984c\u3092\u3044\u304f\u3064\u304b\u7528\u610f\u3057\u307e\u3057\u305f\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u3053\u306e\u5b9a\u7406\u3092\u7406\u89e3\u3057\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u81ea\u5206\u3067\u8a66\u3057\u3066\u307f\u3066\u3001\u89e3\u6c7a\u7b56\u3092\u6b63\u3057\u304f\u7406\u89e3\u3057\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u4e0b\u8a18\u306e\u30b3\u30e1\u30f3\u30c8\u6b04\u306b\u8cea\u554f\u3092\u6b8b\u3057\u3066\u3044\u305f\u3060\u304f\u3053\u3068\u3082\u304a\u5fd8\u308c\u306a\u304f\uff01 \u2753\u2753\ud83d\udcac\ud83d\udcac<\/p>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u968e\u4e57\u5b9a\u7406\u3092\u4f7f\u7528\u3057\u3066\u3001\u591a\u9805\u5f0f P(x) \u304c\u4e8c\u9805 Q(x) \u3067\u5272\u308a\u5207\u308c\u308b\u304b\u3069\u3046\u304b\u3092\u8abf\u3079\u3001\u5272\u308a\u5207\u308c\u308b\u5834\u5408\u306f\u3001\u591a\u9805\u5f0f\u306e\u6839\u3092\u898b\u3064\u3051\u3066\u56e0\u6570\u5206\u89e3\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d91041d9502129f8feb71f75ec493bab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=2x^3-4x^2+x-7 \\qquad \\qquad Q(x)=x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"372\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001\u591a\u9805\u5f0f\u306e\u7d04\u6570 Q(x) \u306f\u3001x \u3068\u72ec\u7acb\u9805\u306e\u307f\u304b\u3089\u69cb\u6210\u3055\u308c\u308b\u4e8c\u9805\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u968e\u4e57\u5b9a\u7406\u3092\u4f7f\u7528\u3057\u3066\u591a\u9805\u5f0f P(x) \u3092\u4ed6\u306e\u591a\u9805\u5f0f Q(x) \u3067\u9664\u7b97\u3067\u304d\u308b\u3053\u3068\u3092\u793a\u3059\u306b\u306f\u3001\u7b26\u53f7\u3092\u5909\u3048\u305f\u9664\u6570\u591a\u9805\u5f0f\u306e\u72ec\u7acb\u9805\u3067\u591a\u9805\u5f0f P(x) \u306e\u6570\u5024\u3092\u8a55\u4fa1\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001x=3 \u306e\u5834\u5408:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9e8ac752f8e16fae1d66386e9d2a02a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(3) &amp; =2\\cdot 3^3-4\\cdot 3^2+3-7\\\\[2ex] &amp; = 2\\cdot 27-4\\cdot 9+3-7 \\\\[2ex] &amp; = 54-36+3-7\\\\[2ex] &amp; = 14 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"219\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> x=3 \u306b\u304a\u3051\u308b\u591a\u9805\u5f0f P(x) \u306e\u6570\u5024\u306f 14 \u306b\u76f8\u5f53\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u30bc\u30ed\u3068\u306f\u7570\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u56e0\u6570\u5b9a\u7406\u306b\u3088\u308c\u3070\u3001\u5272\u308a\u7b97\u306e\u4f59\u308a\u306f\u30bc\u30ed\u3067\u306f\u306a\u3044\u305f\u3081\u3001P(x) \u306f Q(x) \u3067\u5272\u308a\u5207\u308c\u307e\u305b\u3093\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 2<\/h3>\n<p>\u968e\u4e57\u5b9a\u7406\u306b\u3088\u3063\u3066\u3001\u591a\u9805\u5f0f P(x) \u304c\u4e8c\u9805 Q(x) \u3067\u5272\u308a\u5207\u308c\u308b\u304b\u3069\u3046\u304b\u3092\u8abf\u3079\u3001\u5272\u308a\u5207\u308c\u308b\u5834\u5408\u306f\u3001\u591a\u9805\u5f0f P(x) \u306e\u6839\u3092\u898b\u3064\u3051\u3066\u56e0\u6570\u5206\u89e3\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c66c882f468d9bf67c8ae19b9629a24c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^3+5x^2+3x-1 \\qquad \\qquad Q(x)=x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"371\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001\u591a\u9805\u5f0f\u306e\u7d04\u6570 Q(x) \u306f x \u3068\u72ec\u7acb\u9805\u306e\u307f\u3067\u69cb\u6210\u3055\u308c\u308b\u4e8c\u9805\u5f0f\u3067\u3042\u308b\u305f\u3081\u3001\u968e\u4e57\u5b9a\u7406\u3092\u9069\u7528\u3067\u304d\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u3001\u591a\u9805\u5f0f P(x) \u304c\u591a\u9805\u5f0f Q(x) \u3067\u9664\u7b97\u3067\u304d\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3059\u308b\u306b\u306f\u3001\u591a\u9805\u5f0f Q(x) \u306e\u7b26\u53f7\u3092\u5909\u3048\u305f\u72ec\u7acb\u9805\u306b\u5bfe\u3059\u308b\u591a\u9805\u5f0f P(x) \u306e\u6570\u5024\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001x=-1 \u306e\u5834\u5408:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-34b63772a1b44bee2c746d94b6ca4785_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(-1) &amp; =(-1)^3+5\\cdot (-1)^2+3\\cdot (-1)-1\\\\[2ex] &amp; = -1+5\\cdot 1+3\\cdot (-1)-1\\\\[2ex] &amp; = -1+5-3-1\\\\[2ex] &amp; = 0 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"315\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u306e\u554f\u984c\u3067\u306f\u3001x=-1 \u306b\u304a\u3051\u308b\u591a\u9805\u5f0f\u306e\u6570\u5024\u306f\u30bc\u30ed\u3067\u3042\u308b\u305f\u3081\u3001P(x) \u306f Q(x) \u3067\u5272\u308a\u5207\u308c\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u968e\u4e57\u5b9a\u7406\u306b\u3088\u3063\u3066\u3001x=-1 \u306b\u304a\u3051\u308b P(x) \u306e\u6570\u5024\u304c\u6d88\u3048\u308b\u305f\u3081\u3001x=-1 \u304c\u591a\u9805\u5f0f P(x) \u306e\u6839\u3067\u3042\u308b\u3068\u63a8\u5b9a\u3067\u304d\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001x=-1 \u306f\u591a\u9805\u5f0f P(x) \u306e\u6839\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u308c\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u306b\u306f\u3001\u5358\u7d14\u306b x+1 \u3067\u9664\u7b97\u3057\u307e\u3059\u3002\u3053\u306e\u305f\u3081\u306b\u3001Ruffini \u30e1\u30bd\u30c3\u30c9\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/facteur-et-reste-theoreme-2.jpg\" alt=\"\u56e0\u6570\u3068\u5270\u4f59\u306e\u5b9a\u7406\" class=\"wp-image-2223\" width=\"212\" height=\"130\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u64cd\u4f5c\u306e\u7d50\u679c\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d359811cb1941ccb7181216d4eb2667_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+4x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"88\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u3088\u3046\u306b\u591a\u9805\u5f0f P(x) \u3092\u56e0\u6570\u5206\u89e3\u3067\u304d\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d4793f7847d400b7df22361f6b856a0e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = (x+1) \\cdot (x^2+4x-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"231\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 3<\/h3>\n<p>\u968e\u4e57\u5b9a\u7406\u3092\u4f7f\u7528\u3057\u3066\u3001\u591a\u9805\u5f0f P(x) \u304c\u4e8c\u9805 Q(x) \u3067\u5272\u308a\u5207\u308c\u308b\u304b\u3069\u3046\u304b\u3092\u8abf\u3079\u3001\u5272\u308a\u5207\u308c\u308b\u5834\u5408\u306f\u3001\u591a\u9805\u5f0f P(x) \u306e\u6839\u3082\u6c42\u3081\u3066\u56e0\u6570\u5206\u89e3\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e3aead584139f397504eb04454974899_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^3+5x^2+4x-6 \\qquad \\qquad Q(x)=x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"372\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001Q(x) \u3092\u5272\u308b\u591a\u9805\u5f0f\u306f x \u3068\u72ec\u7acb\u9805\u306e\u307f\u3067\u69cb\u6210\u3055\u308c\u308b\u4e8c\u9805\u5f0f\u3068\u306a\u308b\u305f\u3081\u3001\u56e0\u6570\u5b9a\u7406\u3092\u5229\u7528\u3067\u304d\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u3001\u591a\u9805\u5f0f P(x) \u304c\u591a\u9805\u5f0f Q(x) \u3067\u5272\u308a\u5207\u308c\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3059\u308b\u306b\u306f\u3001\u591a\u9805\u5f0f Q(x) \u306e\u7b26\u53f7\u3092\u5909\u3048\u305f\u72ec\u7acb\u9805\u306b\u5bfe\u3059\u308b\u591a\u9805\u5f0f P(x) \u306e\u6570\u5024\u3092\u6c7a\u5b9a\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001x =-3 \u306e\u5834\u5408:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ef8bb895fe041193d71351ffadb94f2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(-3) &amp; =(-3)^3+5\\cdot (-3)^2+4\\cdot (-3)-6\\\\[2ex] &amp; = -27+5\\cdot 9+4\\cdot (-3)-6\\\\[2ex] &amp; = -27+45-12-6\\\\[2ex] &amp; = 0 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"316\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001x=-3 \u306b\u304a\u3051\u308b\u591a\u9805\u5f0f\u306e\u6570\u5024\u306f\u30bc\u30ed\u3067\u3042\u308b\u305f\u3081\u3001\u78ba\u304b\u306b P(x) \u306f Q(x) \u3067\u5272\u308a\u5207\u308c\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u3053\u306e\u305f\u3081\u3001P(-3) \u306f\u30bc\u30ed\u306b\u7b49\u3057\u3044\u305f\u3081\u3001\u968e\u4e57\u5b9a\u7406\u304b\u3089 x=-3 \u304c\u591a\u9805\u5f0f P(x) \u306e\u6839\u3067\u3042\u308b\u3068\u63a8\u5b9a\u3057\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001x=-3 \u306f\u591a\u9805\u5f0f P(x) \u306e\u6839\u3067\u3042\u308b\u305f\u3081\u3001\u305d\u308c\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u306b\u306f\u3001\u305d\u308c\u3092 x+3 \u3067\u9664\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u305f\u3081\u306b\u3001\u30eb\u30d5\u30a3\u30cb\u306e\u6cd5\u5247\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/facteur-theoreme-factorisation-par-ruffini.jpg\" alt=\"\u56e0\u5b50\u5b9a\u7406 \u30eb\u30d5\u30a3\u30cb\u306b\u3088\u308b\u56e0\u5b50\" class=\"wp-image-2226\" width=\"216\" height=\"130\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u9664\u7b97\u306e\u7d50\u679c\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-990e12f6ae2d0b9effdb52dfaea8edbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+2x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"88\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u65b9\u6cd5\u3067\u591a\u9805\u5f0f P(x) \u3092\u56e0\u6570\u5206\u89e3\u3067\u304d\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4929cce053644c03cdafec2fbfd77008_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = (x+3) \\cdot (x^2+2x-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"231\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p class=\"has-text-align-center\">\u56e0\u6570\u5b9a\u7406\u306b\u3064\u3044\u3066\u3069\u3046\u601d\u3044\u307e\u3059\u304b?\u305d\u308c\u306f\u4ee3\u6570\u306b\u5f79\u7acb\u3064\u3068\u601d\u3044\u307e\u3059\u304b?\u30b3\u30e1\u30f3\u30c8\u3092\u8aad\u3093\u3067\u3044\u307e\u3059\uff01<br \/> \ud83d\udc40\u2b07\u2b07\u2b07\ud83d\udc40<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u56e0\u6570\u5b9a\u7406\u3068\u306f\u4f55\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u56e0\u5b50\u5b9a\u7406\u304c\u591a\u9805\u5f0f\u306e\u5272\u308a\u7b97\u3001\u6839\u306e\u6c42\u3081\u3001\u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u306a\u3069\u306b\u4f7f\u7528\u3055\u308c\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u56e0\u5b50\u5b9a\u7406\u306b\u95a2\u3059\u308b\u30b9\u30c6\u30c3\u30d7\u30d0\u30a4\u30b9\u30c6\u30c3\u30d7\u306e\u6f14\u7fd2\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u56e0\u6570 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e5%9b%a0%e6%95%b0%e5%ae%9a%e7%90%86\/\"> <span class=\"screen-reader-text\">\u56e0\u6570\u5b9a\u7406<\/span> \u3082\u3063\u3068\u8aad\u3080 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[16],"tags":[],"class_list":["post-323","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u56e0\u6570\u5b9a\u7406 - \u30de\u30bd\u30ea\u30c6\u30a3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/ja\/\u56e0\u6570\u5b9a\u7406\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u56e0\u6570\u5b9a\u7406 - \u30de\u30bd\u30ea\u30c6\u30a3\" \/>\n<meta property=\"og:description\" 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