{"id":61,"date":"2023-09-17T07:21:59","date_gmt":"2023-09-17T07:21:59","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e5%a4%9a%e9%a0%85%e5%bc%8f%e3%81%ae%e6%95%b0%e5%80%a4%e3%81%ae%e4%be%8b%e3%82%92%e8%a7%a3%e3%81%84%e3%81%9f%e6%bc%94%e7%bf%92\/"},"modified":"2023-09-17T07:21:59","modified_gmt":"2023-09-17T07:21:59","slug":"%e5%a4%9a%e9%a0%85%e5%bc%8f%e3%81%ae%e6%95%b0%e5%80%a4%e3%81%ae%e4%be%8b%e3%82%92%e8%a7%a3%e3%81%84%e3%81%9f%e6%bc%94%e7%bf%92","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e5%a4%9a%e9%a0%85%e5%bc%8f%e3%81%ae%e6%95%b0%e5%80%a4%e3%81%ae%e4%be%8b%e3%82%92%e8%a7%a3%e3%81%84%e3%81%9f%e6%bc%94%e7%bf%92\/","title":{"rendered":"\u591a\u9805\u5f0f\u306e\u6570\u5024"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u591a\u9805\u5f0f\u3068\u306f\u4f55\u304b\u3001\u304a\u3088\u3073\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u6bb5\u968e\u7684\u306b\u89e3\u304f\u4f8b\u984c\u3084\u6f14\u7fd2\u3082\u898b\u308b\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-valor-numerico-de-un-polinomio\"><\/span>\u591a\u9805\u5f0f\u306e\u6570\u5024\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u6570\u5b66\u3067\u306f\u3001\u5024 x=a \u306b\u5bfe\u3059\u308b\u591a\u9805\u5f0f P(x) \u306e\u6570\u5024\u3001\u3064\u307e\u308a P(a) \u306f\u3001\u591a\u9805\u5f0f\u306e\u5909\u6570 x \u3092\u6570\u5024 a \u306b\u7f6e\u304d\u63db\u3048\u3001\u6b21\u306e\u8a08\u7b97\u3092\u5b9f\u884c\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u308b\u7d50\u679c\u3067\u3059\u3002\u591a\u9805\u5f0f\u3067\u3002<\/strong><\/p>\n<p>\u591a\u9805\u5f0f\u306e\u6570\u5024\u306e\u6982\u5ff5\u3092\u3088\u308a\u3088\u304f\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u4f8b\u3092\u4f7f\u7528\u3057\u3066\u591a\u9805\u5f0f\u306e\u6570\u5024\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u3092\u4ee5\u4e0b\u306b\u793a\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Como-calcular-el-valor-numerico-de-un-polinomo\"><\/span>\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u591a\u9805\u5f0f\u306e\u6570\u5024\u306e\u6570\u5b66\u7684\u5b9a\u7fa9\u304c\u308f\u304b\u3063\u305f\u306e\u3067\u3001\u4f8b\u3092\u4f7f\u7528\u3057\u3066\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u6c7a\u5b9a\u3059\u308b\u65b9\u6cd5\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u6b21\u306e\u591a\u9805\u5f0f\u306e x=2 \u306e\u6570\u5024\u306f\u4f55\u3067\u3059\u304b?<\/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-65a7367fb9064a872fa5606d70d8327f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^3+5x^2-4x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"198\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u554f\u984c\u3067\u4e0e\u3048\u3089\u308c\u305f\u5024\u3067\u305d\u306e\u591a\u9805\u5f0f\u3092\u8a55\u4fa1\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u5909\u6570\u3092\u4ee3\u5165\u3059\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-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u30b9\u30c6\u30fc\u30c8\u30e1\u30f3\u30c8\u306e\u5024\u306b\u3088\u308b\u591a\u9805\u5f0f\u306e\u8a08\u7b97\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u5834\u5408\u3001\u6587\u5b57\u3092\u7f6e\u304d\u63db\u3048\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p>2\u306e\u5834\u5408\uff1a<\/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-8850b99aa8c1921c96f582d9cf2d372b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2)=2^3+5\\cdot 2^2-4\\cdot 2+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"218\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u3001\u305d\u306e\u5024\u3092\u591a\u9805\u5f0f\u306e\u4ee3\u6570\u5f0f\u306b\u4ee3\u5165\u3057\u305f\u3089\u3001\u6f14\u7b97\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6700\u521d\u306b\u3079\u304d\u4e57\u3092\u89e3\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-9f1eb984d1fa73d02b5bed9ded3be62e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2)=8+5\\cdot 4-4\\cdot 2+1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"203\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u4e57\u7b97\u3092\u8a08\u7b97\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-162adaa6ea3726b7b0dd530232af86b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2)=8+20-8+1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"169\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6700\u5f8c\u306b\u3001\u9805\u3092\u52a0\u7b97\u304a\u3088\u3073\u6e1b\u7b97\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-06e073969fc5e5b3027491d9ef7ac94b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{P(2)=21}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u7d50\u8ad6\u3068\u3057\u3066\u3001x=2 \u306e\u591a\u9805\u5f0f\u306e\u6570\u5024\u306f 21 \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u6c42\u3081\u308b\u3053\u3068\u306f\u305d\u308c\u307b\u3069\u8907\u96d1\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u975e\u5e38\u306b\u4fbf\u5229\u306a\u5fdc\u7528\u304c\u3044\u304f\u3064\u304b\u3042\u308a\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u591a\u9805\u5f0f\u306b\u95a2\u3059\u308b\u975e\u5e38\u306b\u91cd\u8981\u306a\u5b9a\u7406\u3067\u3042\u308b\u5270\u4f59\u5b9a\u7406\u3092\u4f7f\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u3059\u308b\u306b\u306f\u3001\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3092\u77e5\u308b\u3053\u3068\u304c\u4e0d\u53ef\u6b20\u3067\u3059\u3002\u3053\u306e\u30ea\u30f3\u30af\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066<a href=\"https:\/\/mathority.org\/ja\/\u5270\u4f59\u5b9a\u7406\u306e\u4f8b\u3068\u6f14\u7fd2\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f\/\"><strong><span style=\"text-decoration: underline;\">\u5270\u4f59\u5b9a\u7406\u3068\u306f\u4f55\u304b\u3092<\/span><\/strong><\/a>\u8abf\u3079\u3066\u304f\u3060\u3055\u3044\u3002\u305d\u306e\u8aac\u660e\u3001\u4f7f\u7528\u4f8b\u3001\u304a\u3088\u3073\u6f14\u7fd2\u304c\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u3066\u3044\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-valores-numericos-de-polinomios\"><\/span>\u591a\u9805\u5f0f\u306e\u6570\u5024\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u53d6\u5f97\u3059\u308b\u65b9\u6cd5\u3092\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u4ed6\u306e\u89e3\u6c7a\u4f8b\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u4f8b1<\/h3>\n<ul>\n<li>\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u8a08\u7b97\u3057\u307e\u3059\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f620a315934a4ae3ceb6dfe0d8b65130_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^3-2x^2+3x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u306e\u305f\u3081\u306b<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6de4e73609a66312d9714a253f9ae3a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-1.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"61\" style=\"vertical-align: 0px;\"><\/p>\n<\/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-3293713c5e12fac56d94be90f6bfc6e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(-1) &amp; =(-1)^3-2\\cdot (-1)^2+3\\cdot (-1)+6 \\\\[2ex] &amp; = -1-2\\cdot 1+3\\cdot (-1)+6 \\\\[2ex] &amp; =-1-2-3+6 \\\\[2ex]&amp;= \\bm{0} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"316\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u591a\u9805\u5f0f\u306e\u6570\u5024\u306f 0 \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002 <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u56e0\u6570\u5b9a\u7406\/\">\u56e0\u6570\u5b9a\u7406\u306e\u304a\u304b\u3052\u3067\u3001\u591a\u9805\u5f0f\u9593\u306e\u7279\u5b9a<\/a><\/span><\/strong>\u306e\u9664\u7b97\u306e\u4f59\u308a\u304c\u4f55\u306b\u306a\u308b\u304b\u3092\u77e5\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u305f\u3081\u3001\u3053\u308c\u306b\u306f\u591a\u9805\u5f0f\u306e\u7279\u6027\u306b\u3088\u308b\u5f71\u97ff\u304c\u3042\u308a\u307e\u3059\u3002\u8a73\u7d30\u306b\u3064\u3044\u3066\u306f\u3001\u524d\u306e\u30ea\u30f3\u30af\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u305d\u3053\u3067\u306f\u3001\u3053\u306e\u5b9a\u7406\u306e\u5185\u5bb9\u3068\u305d\u306e\u76ee\u7684\u304c\u8aac\u660e\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u4f8b 2<\/h3>\n<ul>\n<li>\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u6c7a\u5b9a\u3059\u308b\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-603996e6452fa70f3c1507d146c439e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=-2x^3+7x^2-8x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"221\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u306e\u305f\u3081\u306b<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bf60bc9fcf312a246a055c15ee98033c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=3.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<\/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-ad8b1145d569157b4e771adfae674e2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(3) &amp; =-2\\cdot 3^3+7\\cdot 3^2-8\\cdot 3-2 \\\\[2ex] &amp; =-2\\cdot 27+7\\cdot 9-8\\cdot 3-2 \\\\[2ex] &amp; =-54+63-24-2 \\\\[2ex]&amp;= \\bm{-17} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"254\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u3053\u307e\u3067\u306f\u3001\u53e4\u5178\u7684\u306a\u65b9\u6cd5\u3067\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u6c7a\u5b9a\u3059\u308b\u65b9\u6cd5\u306e\u307f\u3092\u898b\u3066\u304d\u307e\u3057\u305f\u304c\u3001\u5225\u306e\u65b9\u6cd5\u304c\u3042\u308b\u3053\u3068\u3092\u77e5\u3063\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u3001<a href=\"https:\/\/mathority.org\/ja\/\u89e3\u6c7a\u3055\u308c\u305f\u30eb\u30fc\u30eb\u306e\u4f8b-\u30eb\u30c3\u30d5\u30a3\u30fc\u30cb\u6f14\u7fd2\/\"><strong><span style=\"text-decoration: underline;\">\u30eb\u30d5\u30a3\u30cb\u6cd5<\/span><\/strong><\/a>\u3092\u4f7f\u7528\u3057\u3066\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u624b\u9806\u306e\u4f7f\u7528\u65b9\u6cd5\u3082\u77e5\u3063\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\u30ea\u30f3\u30af\u5185\u306e\u8a73\u7d30\u306a\u8aac\u660e\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Valor-numerico-de-un-polinomio-con-dos-o-mas-variables\"><\/span> 2 \u3064\u4ee5\u4e0a\u306e\u5909\u6570\u3092\u542b\u3080\u591a\u9805\u5f0f\u306e\u6570\u5024<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5909\u6570\u304c 1 \u3064\u3057\u304b\u306a\u3044\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3057\u305f\u3002\u3057\u304b\u3057\u2026\u591a\u9805\u5f0f\u306b\u8907\u6570\u306e\u5909\u6570\u304c\u3042\u308b\u5834\u5408\u3001\u3069\u306e\u3088\u3046\u306b\u3057\u3066\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u53d6\u5f97\u3059\u308b\u306e\u3067\u3057\u3087\u3046\u304b?<\/p>\n<p>\u591a\u9805\u5f0f\u306b 2 \u6587\u5b57\u4ee5\u4e0a\u306e\u6587\u5b57\u304c\u3042\u308b\u5834\u5408\u3001\u305d\u306e\u6570\u5024\u306f\u540c\u3058\u65b9\u6cd5\u3067\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<strong>\u3064\u307e\u308a\u3001\u307e\u305a\u591a\u9805\u5f0f\u306e\u5404\u5909\u6570\u3092\u5bfe\u5fdc\u3059\u308b\u5024\u306b\u7f6e\u304d\u63db\u3048\u3066\u304b\u3089\u3001\u591a\u9805\u5f0f\u6f14\u7b97\u3092\u89e3\u304d\u307e\u3059<\/strong>\u3002<\/p>\n<p>\u4f8b\u3068\u3057\u3066\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u554f\u984c\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u89e3\u6c7a\u3055\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u591a\u5909\u91cf\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u6c42\u3081\u308b\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4ae6ce41951c6622a5dd702a3f74de67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x,y)=x^2y+4xy-2x^2+6y-5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"274\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u4fa1\u5024\u89b3\u306e\u305f\u3081\u306b<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-56213aa9361c3f660a6fd780c629a637_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=2, y=3.\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"96\" style=\"vertical-align: -4px;\"><\/p>\n<\/li>\n<\/ul>\n<p>\u307e\u305a\u3001\u5404\u5909\u6570\u3092\u5bfe\u5fdc\u3059\u308b\u5024\u306b\u7f6e\u304d\u63db\u3048\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6587\u5b57\u3092\u7f6e\u304d\u63db\u3048\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-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> 2\u306e\u5834\u5408\u306f\u6587\u5b57\u3092\u5909\u66f4\u3057\u307e\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p>3\u307e\u3067\u306b\uff1a<\/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-a0a147fbd9eac856732e746ba31bf7ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2,3)=2^2\\cdot 3+4\\cdot 2\\cdot 3-2\\cdot 2^2+6\\cdot 3-5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"331\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u529b\u3092\u6c42\u3081\u3066\u89e3\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-4e196dd787140ebfd9cf51cd22665242_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2,3)=4\\cdot 3+4\\cdot 2\\cdot 3-2\\cdot 4+6\\cdot 3-5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"315\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3053\u3053\u3067\u7a4d\u3092\u8a08\u7b97\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-d086e387e69df272c991d246a5419289_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2,3)=12+24-8+18-5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"234\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u52a0\u7b97\u3068\u6e1b\u7b97\u3092\u884c\u3044\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-a56aaa1a35d10261d6a7c885d4c5c38c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{P(2,3)=41}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"94\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u547d\u4ee4\u30c7\u30fc\u30bf\u306e\u591a\u9805\u5f0f\u306e\u6570\u5024\u306f 41 \u306b\u76f8\u5f53\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-del-valor-numerico-de-un-polinomio\"><\/span>\u591a\u9805\u5f0f\u306e\u6570\u5024\u306b\u95a2\u3059\u308b\u6f14\u7fd2\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f\u3002<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p> x=-2 \u306e\u5834\u5408\u306e\u591a\u9805\u5f0f P(x) \u306e\u6570\u5024\u306f\u3044\u304f\u3089\u3067\u3059\u304b? <\/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-2058e4637803a44f702503177a9a5999_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=-2x^3-4x^2+3x+8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"222\" 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\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u3001\u30b9\u30c6\u30fc\u30c8\u30e1\u30f3\u30c8\u3067\u6307\u5b9a\u3055\u308c\u305f\u5024\u3092\u591a\u9805\u5f0f\u306b\u4ee3\u5165\u3057\u3001\u7d50\u679c\u306e\u6f14\u7b97\u3092\u89e3\u304f\u3060\u3051\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-93b7cf1a6c7e930a0a70fc8302f4012d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(-2) &amp; =-2\\cdot (-2)^3-4\\cdot (-2)^2+3\\cdot (-2)+8 \\\\[2ex] &amp; =-2\\cdot (-8)-4\\cdot 4+3\\cdot (-2)+8 \\\\[2ex] &amp; =+16-16-6+8 \\\\[2ex]&amp;= \\bm{2} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"351\" style=\"vertical-align: 0px;\"><\/p>\n<\/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> x=4 \u306e\u5834\u5408\u3001\u5206\u6570\u3092\u4f7f\u7528\u3057\u3066\u6b21\u306e\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u8a08\u7b97\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-51b55d638c13c2ae521dd1b268e566b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=\\cfrac{1}{2} x^2-\\cfrac{5}{4}x + 7\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"163\" style=\"vertical-align: -12px;\"><\/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\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u591a\u9805\u5f0f\u306b\u5206\u6570\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u306b\u95a2\u4fc2\u306a\u304f\u3001\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u6c42\u3081\u308b\u624b\u9806\u306f\u5e38\u306b\u540c\u3058\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5909\u6570 x \u3092 4 \u306b\u7f6e\u304d\u63db\u3048\u3066\u8a08\u7b97\u3092\u89e3\u304f\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-04fa4389b5e7c5257937ad35aed07c7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(4) &amp; =\\cfrac{1}{2} \\cdot 4^2-\\cfrac{5}{4}\\cdot 4+ 7 \\\\[2ex] &amp; =\\cfrac{1}{2} \\cdot 16-\\cfrac{5}{4}\\cdot 4+ 7\\\\[2ex] &amp; =8-5+7 \\\\[2ex]&amp;= \\bm{10} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"181\" width=\"186\" style=\"vertical-align: 0px;\"><\/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> x=3\u3001y=5\u3001z=-2\u306e\u5024\u306b\u5bfe\u3059\u308b\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u6c7a\u5b9a\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-93ec397c7da59b30a0550f40bb0b1c06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x,y,z)=x^2yz+4y^2z^2-3x^2z+6xyz\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"312\" 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\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u591a\u5909\u91cf\u591a\u9805\u5f0f\u306e\u6570\u5024\u3092\u6c7a\u5b9a\u3059\u308b\u306b\u306f\u3001\u554f\u984c\u3067\u6307\u5b9a\u3055\u308c\u305f\u5024\u3092\u4ee3\u6570\u5f0f\u306b\u4ee3\u5165\u3057\u3001\u7d50\u679c\u306e\u6f14\u7b97\u3092\u89e3\u304f\u3060\u3051\u3067\u5341\u5206\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-29683a91c14427a8ea42c3518e59e53f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(3,5,-2) &amp; =3^2\\cdot 5\\cdot (-2)+4\\cdot 5^2\\cdot (-2)^2-3\\cdot 3^2\\cdot (-2)+6\\cdot 3\\cdot 5 \\cdot (-2) \\\\[2ex] &amp; =9\\cdot 5\\cdot (-2)+4\\cdot 25\\cdot 4-3\\cdot 9\\cdot (-2)+6\\cdot 3\\cdot 5 \\cdot (-2) \\\\[2ex] &amp; =-90+400+54-180\\\\[2ex]&amp;= \\bm{184} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"543\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 4<\/h3>\n<p>\u591a\u9805\u5f0f\u3092\u8003\u3048\u308b\u3068<\/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-288097fb1db706c4470871749ac23d88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= -2x^3-3x^2+5x+k\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"222\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u30d1\u30e9\u30e1\u30fc\u30bf\u5024\u3092\u8a08\u7b97\u3059\u308b<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3422b6bb5c160593658b7c39425d9880_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u3068\u306a\u308b\u3053\u3068\u306b\u3088\u3063\u3066<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3029b4a44964ce05fcd5497240a906ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2)=5.\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"87\" 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\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u306e\u554f\u984c\u3067\u306f\u3001\u672a\u77e5\u306e\u5024\u3092\u6c42\u3081\u308b\u306b\u306f\u3001<\/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-3422b6bb5c160593658b7c39425d9880_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3029b4a44964ce05fcd5497240a906ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2)=5.\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"87\" style=\"vertical-align: -5px;\"><\/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-1c57342c839d903ba49d3065a69b092c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u6700\u521d\u306b P(-2) \u306e\u5024\u3092\u8a08\u7b97\u3057\u3066\u307f\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-3b58398099c8033b93a559e2f0c87f1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(-2) &amp; =-2\\cdot (-2)^3-3\\cdot (-2)^2+5\\cdot (-2)+k \\\\[2ex] &amp; =-2\\cdot (-8)-3\\cdot 4+5\\cdot (-2)+k \\\\[2ex] &amp; =+16-12-10+k\\\\[2ex]&amp;=-6+k \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"144\" width=\"351\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u3053\u3067\u3001\u5f97\u3089\u308c\u305f\u5f0f\u3092 5 \u306b\u7b49\u3057\u304f\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-1c57342c839d903ba49d3065a69b092c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/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-e8b31008f76f38998d02a91cb976653e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-6+k=5\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"85\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u65b9\u7a0b\u5f0f\u3092\u89e3\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-9b76441987dd8c22187ed4d37c72baea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k=5+6\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"73\" style=\"vertical-align: -2px;\"><\/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-30a3a62912d260d4dff9a56341e1e046_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{k=11}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"50\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div 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