{"id":303,"date":"2023-07-06T14:49:10","date_gmt":"2023-07-06T14:49:10","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e5%ae%8c%e5%85%a8%e3%81%aa%e5%a4%9a%e9%a0%85%e5%bc%8f\/"},"modified":"2023-07-06T14:49:10","modified_gmt":"2023-07-06T14:49:10","slug":"%e5%ae%8c%e5%85%a8%e3%81%aa%e5%a4%9a%e9%a0%85%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e5%ae%8c%e5%85%a8%e3%81%aa%e5%a4%9a%e9%a0%85%e5%bc%8f\/","title":{"rendered":"\u5b8c\u5168\u306a\u591a\u9805\u5f0f"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u5b8c\u5168\u591a\u9805\u5f0f\u3068\u306f\u4f55\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u3001\u5b8c\u5168\u591a\u9805\u5f0f\u306e\u4f8b\u3082\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u591a\u9805\u5f0f\u304c\u5b8c\u6210\u3057\u3001\u540c\u6642\u306b\u9806\u5e8f\u4ed8\u3051\u3089\u308c\u308b\u3053\u3068\u304c\u4f55\u3092\u610f\u5473\u3059\u308b\u306e\u304b\u3082\u308f\u304b\u308a\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u5b8c\u5168\u306a\u591a\u9805\u5f0f\u3068\u4e0d\u5b8c\u5168\u306a\u591a\u9805\u5f0f\u306e\u9055\u3044\u3092\u5206\u6790\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-un-polinomio-completo\"><\/span>\u5b8c\u5168\u591a\u9805\u5f0f\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6570\u5b66\u306b\u304a\u3051\u308b\u5b8c\u5168\u306a\u591a\u9805\u5f0f\u306e\u5b9a\u7fa9\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<p><strong>\u5b8c\u5168\u591a\u9805\u5f0f\u306f\u3001\u3059\u3079\u3066\u306e\u6b21\u6570\u306e\u3059\u3079\u3066\u306e\u9805\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u591a\u9805\u5f0f\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u5b8c\u5168\u591a\u9805\u5f0f\u306b\u306f\u3001\u6700\u9ad8\u6b21\u6570\u306e\u5358\u9805\u5f0f\u304b\u3089\u72ec\u7acb\u9805\u307e\u3067\u306e\u3059\u3079\u3066\u306e\u9805\u304c\u3042\u308a\u307e\u3059\u3002<\/strong><\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u6b21\u306e\u591a\u9805\u5f0f\u306f\u5b8c\u6210\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-1ef5a50fd44f23b69d12af50964cd202_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= x^3+4x^2-5x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5b9f\u969b\u3001\u3053\u308c\u306f 3 \u6b21\u304b\u3089 0 \u6b21\u307e\u3067\u306e\u3059\u3079\u3066\u306e\u9805\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u5b8c\u5168\u306a\u591a\u9805\u5f0f\u3067\u3059\u3002\u5358\u9805\u5f0f x <sup>3<\/sup>\u306f 3 \u6b21\u306e\u3082\u306e\u3001\u9805 4x <sup>2<\/sup>\u306f 2 \u6b21\u306e\u3082\u306e\u3001\u8981\u7d20 -5x \u306f 1 \u6b21\u306e\u3082\u306e\u3067\u3059\u3002\u6b21\u6570\u3001\u305d\u3057\u3066\u6700\u5f8c\u306e 3 \u306f\u6b21\u6570 0 \u3067\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3001\u660e\u78ba\u306b\u7406\u89e3\u3057\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308b\u6982\u5ff5\u306f\u3001\u591a\u9805\u5f0f\u306e 0 \u6b21\u306e\u9805 (\u524d\u306e\u591a\u9805\u5f0f\u306e\u6570\u5024 3) \u3068\u547c\u3070\u308c\u308b\u3082\u306e\u3067\u3001\u3053\u308c\u306b\u306f\u7279\u5b9a\u306e\u540d\u524d\u304c\u4ed8\u3044\u3066\u3044\u307e\u3059\u3002\u305d\u3046\u3067\u306a\u3044\u5834\u5408\u306f\u3001 <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u591a\u9805\u5f0f\u306e\u72ec\u7acb\u9805\/\">\u300c\u591a\u9805\u5f0f\u306e\u72ec\u7acb\u9805\u3068\u306f<\/a><\/span><\/strong>\u4f55\u304b\u300d\u3067\u8a73\u3057\u304f\u8aac\u660e\u3055\u308c\u3066\u3044\u308b\u3082\u306e\u3092\u53c2\u7167\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=\"Ejemplos-de-polinomios-completos\"><\/span>\u5b8c\u5168\u306a\u591a\u9805\u5f0f\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5b8c\u5168\u306a\u591a\u9805\u5f0f\u306e\u6982\u5ff5\u3092\u7406\u89e3\u3057\u305f\u3089\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u591a\u9805\u5f0f\u306e\u4f8b\u3092\u3055\u3089\u306b\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u6b21\u6570 2 \u306e\u5b8c\u5168\u306a\u591a\u9805\u5f0f\u306e\u4f8b:<\/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-b6d2bd701032cf8479c091b652145c71_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= 5x^2-3x-4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"159\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> 4 \u6b21\u306e\u5b8c\u5168\u306a\u591a\u9805\u5f0f\u306e\u4f8b:<\/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-319b8d8cbb1989a22a075d74a1f19265_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= x^4+6x^3+3x^2+4x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"246\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> 7 \u6b21\u306e\u5b8c\u5168\u306a\u591a\u9805\u5f0f\u306e\u4f8b:<\/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-20d896cc76354b36e490cfa23d4168de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= x^7-2x^6-9x^5+3x^4+2x^3-x^2+ 7x+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"382\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3053\u308c\u306f\u307e\u3063\u305f\u304f\u7570\u306a\u308b\u6982\u5ff5\u3067\u3059\u304c\u3001\u3053\u3053\u307e\u3067\u6765\u305f\u3089\u3001\u6570\u5024\u306e<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u6570\u5024\u306e\u5206\u89e3\u307e\u305f\u306f\u591a\u9805\u5f0f\u8868\u73fe\/\">\u591a\u9805\u5f0f\u5206\u89e3\u304c<\/a><\/span><\/strong>\u4f55\u3067\u3042\u308b\u304b\u3092\u77e5\u308b\u3053\u3068\u306b\u304d\u3063\u3068\u8208\u5473\u3092\u6301\u3064\u3067\u3057\u3087\u3046\u3002\u5b9f\u306f\u3053\u308c\u3001\u3042\u307e\u308a\u77e5\u3089\u308c\u3066\u3044\u306a\u3044\u306e\u3067\u3059\u304c\u3001\u5b9f\u306f\u3068\u3066\u3082\u4fbf\u5229\u306a\u3093\u3067\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Polinomio-completo-y-ordenado\"><\/span>\u5b8c\u5168\u306a\u9806\u5e8f\u4ed8\u304d\u591a\u9805\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u591a\u9805\u5f0f\u304c\u3044\u3064\u5b8c\u6210\u3059\u308b\u304b\u304c\u308f\u304b\u3063\u305f\u306e\u3067\u3001\u5b8c\u5168\u591a\u9805\u5f0f\u3068\u9806\u5e8f\u591a\u9805\u5f0f\u304c\u3069\u306e\u3088\u3046\u306a\u3082\u306e\u304b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><strong>\u9806\u5e8f\u4ed8\u304d\u591a\u9805\u5f0f\u306f<\/strong>\u3001\u3059\u3079\u3066\u306e\u9805\u304c\u6700\u9ad8\u6b21\u6570\u304b\u3089\u6700\u4f4e\u6b21\u6570\u307e\u3067\u9806\u5e8f\u4ed8\u3051\u3089\u308c\u305f\u591a\u9805\u5f0f\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u305f\u3068\u3048\u3070\u3001\u6b21\u306e\u591a\u9805\u5f0f\u306f\u9806\u5e8f\u4ed8\u3051\u3055\u308c\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-7f85ac895df26a1692d271c174536b5b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= 2x^5+3x^3+7x^2+8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"215\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u5b8c\u5168\u304b\u3064\u9806\u5e8f\u591a\u9805\u5f0f<\/strong>\u306f\u3001\u5b8c\u5168\u591a\u9805\u5f0f\u3068\u9806\u5e8f\u591a\u9805\u5f0f\u306e\u7279\u6027\u3092\u540c\u6642\u306b\u6e80\u305f\u3059\u591a\u9805\u5f0f\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u5b8c\u5168\u3067\u9806\u5e8f\u4ed8\u3051\u3089\u308c\u305f\u591a\u9805\u5f0f\u3068\u306f\u3001\u3059\u3079\u3066\u306e\u6b21\u6570\u306e\u3059\u3079\u3066\u306e\u5358\u9805\u5f0f\u3092\u6301\u3061\u3001\u3055\u3089\u306b\u3001\u3053\u308c\u3089\u306e\u5358\u9805\u5f0f\u304c\u964d\u9806\u3067\u9806\u5e8f\u4ed8\u3051\u3055\u308c\u3066\u3044\u308b\u591a\u9805\u5f0f\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-2a60c871e425af1b51dc57cfe1947a4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= x^5-2x^4+5x^3+6x^2+3x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"295\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u524d\u306e\u6f14\u7fd2\u3067\u5f97\u305f\u591a\u9805\u5f0f\u306f\u30015 \u6b21\u304b\u3089\u72ec\u7acb\u9805\u307e\u3067\u306e\u3059\u3079\u3066\u306e\u9805\u3092\u6301\u3061\u3001\u3055\u3089\u306b\u3053\u308c\u3089\u306e\u9805\u304c\u3059\u3079\u3066\u9806\u5e8f\u3069\u304a\u308a\u3067\u3042\u308b\u305f\u3081\u3001\u5b8c\u5168\u3067\u9806\u5e8f\u4ed8\u3051\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u9806\u5e8f\u591a\u9805\u5f0f\u306f\u975e\u5e38\u306b\u5358\u7d14\u306a\u3082\u306e\u306e\u3088\u3046\u306b\u898b\u3048\u307e\u3059\u304c\u3001\u898b\u305f\u76ee\u3088\u308a\u3082\u91cd\u8981\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u3068\u9664\u7b97\u3067\u306f\u3001\u6f14\u7b97\u3092\u6b63\u3057\u304f\u5b9f\u884c\u3059\u308b\u306b\u306f\u3001\u591a\u9805\u5f0f\u304c\u9069\u5207\u306b\u9806\u5e8f\u4ed8\u3051\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u304c\u4e0d\u53ef\u6b20\u3067\u3059\u3002\u79c1\u304c\u4f55\u3092\u8a00\u3063\u3066\u3044\u308b\u306e\u304b\u308f\u304b\u3089\u306a\u3044\u5834\u5408\u306e\u305f\u3081\u306b\u3001 <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u306e\u4f8b-\u6f14\u7fd2\u3092\u89e3\u304f-\u7a4d\u306e\u4e57\u7b97\/\">\u591a\u9805\u5f0f\u306e\u4e57\u7b97\u65b9\u6cd5<\/a><\/span><\/strong>\u3068<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u591a\u9805\u5f0f\u306e\u9664\u7b97\u306e\u4f8b\u984c-\u89e3\u6c7a\u6e08\u307f\u6f14\u7fd2-\u9664\u7b97\/\">\u591a\u9805\u5f0f\u306e\u9664\u7b97\u65b9\u6cd5<\/a><\/span><\/strong>\u3092\u8aac\u660e\u3059\u308b 2 \u30da\u30fc\u30b8\u3092\u3053\u3053\u306b\u793a\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Polinomio-completo-e-incompleto\"><\/span>\u5b8c\u5168\u591a\u9805\u5f0f\u3068\u4e0d\u5b8c\u5168\u591a\u9805\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6700\u5f8c\u306b\u3001\u5b8c\u5168\u591a\u9805\u5f0f\u3068\u4e0d\u5b8c\u5168\u591a\u9805\u5f0f\u304c\u3069\u306e\u3088\u3046\u306b\u7570\u306a\u308b\u304b\u3092\u5206\u6790\u3057\u307e\u3059\u3002<\/p>\n<p><strong>\u4e0d\u5b8c\u5168\u591a\u9805\u5f0f\u3068<\/strong>\u306f\u3001\u3059\u3079\u3066\u306e\u6b21\u6570\u306e\u3059\u3079\u3066\u306e\u5358\u9805\u5f0f\u3092\u6301\u305f\u306a\u3044\u304c\u3001\u9805\u304c\u6b20\u843d\u3057\u3066\u3044\u308b\u591a\u9805\u5f0f\u3067\u3059\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u6b21\u306e\u591a\u9805\u5f0f\u306f 3 \u6b21\u306e\u5358\u9805\u5f0f\u307e\u305f\u306f\u72ec\u7acb\u9805\u3092\u6301\u305f\u306a\u3044\u305f\u3081\u3001\u4e0d\u5b8c\u5168\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-b20da3244b6839d518525b4b5ca2f533_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= 5x^4-x^2+2x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"168\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u4e0d\u5b8c\u5168\u306a\u591a\u9805\u5f0f\u306f\u5b8c\u5168\u306a\u591a\u9805\u5f0f\u306e\u6b63\u53cd\u5bfe\u3067\u3042\u308b\u3068\u8a00\u3048\u307e\u3059\u3002<\/p>\n<p>\u7279\u5b9a\u306e\u6f14\u7b97\u3092\u5b9f\u884c\u3059\u308b\u5834\u5408\u3001\u5b8c\u5168\u306a\u591a\u9805\u5f0f\u3068\u4e0d\u5b8c\u5168\u306a\u591a\u9805\u5f0f\u3092\u533a\u5225\u3059\u308b\u65b9\u6cd5\u3092\u77e5\u308b\u3053\u3068\u306f\u975e\u5e38\u306b\u91cd\u8981\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u30eb\u30d5\u30a3\u30cb\u306e\u898f\u5247\u306e\u624b\u9806\u306f\u3001\u591a\u9805\u5f0f\u304c\u5b8c\u5168\u304b\u4e0d\u5b8c\u5168\u304b\u306b\u3088\u3063\u3066\u7570\u306a\u308a\u307e\u3059\u3002\u30eb\u30c3\u30d5\u30a3\u30fc\u30cb 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