{"id":99,"date":"2023-07-17T06:09:40","date_gmt":"2023-07-17T06:09:40","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e9%9a%8e%e4%b9%97%e5%a4%9a%e9%a0%85%e5%bc%8f\/"},"modified":"2023-07-17T06:09:40","modified_gmt":"2023-07-17T06:09:40","slug":"%e9%9a%8e%e4%b9%97%e5%a4%9a%e9%a0%85%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e9%9a%8e%e4%b9%97%e5%a4%9a%e9%a0%85%e5%bc%8f\/","title":{"rendered":"\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><strong>\u591a\u9805\u5f0f\u56e0\u6570\u5206\u89e3\u3068\u306f\u4f55\u3067\u3059\u304b?<\/strong>\u3053\u308c\u306f\u3001<a href=\"https:\/\/mathority.org\/ja\/\u591a\u9805\u5f0f\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u591a\u9805\u5f0f\u3092<\/a>\u3088\u308a\u5358\u7d14\u306a\u56e0\u5b50\u307e\u305f\u306f\u5f0f\u306b\u5206\u89e3\u3067\u304d\u308b\u6570\u5b66\u7684\u624b\u6cd5\u3067\u3059\u3002\u3053\u306e\u5358\u7d14\u5316\u306e\u304a\u304b\u3052\u3067\u3001\u3044\u304f\u3064\u304b\u306e\u4ee3\u6570\u5f0f\u9593\u306e\u6f14\u7b97\u3092\u3088\u308a\u7c21\u5358\u304b\u3064\u5feb\u9069\u306b\u5b9f\u884c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u3055\u307e\u3056\u307e\u306a\u65b9\u6cd5\u3068\u3001\u8003\u3048\u3089\u308c\u308b\u3059\u3079\u3066\u306e\u56e0\u6570\u5206\u89e3\u306e\u30b1\u30fc\u30b9\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\" id=\"como-factorizar-un-polinomio\"><span id=\"Como_factorizar_un_polinomio\">\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u306b\u306f\u3069\u3046\u3059\u308c\u3070\u3088\u3044\u3067\u3059\u304b?<\/span><\/h2>\n<p>\u72ec\u81ea\u306e\u89e3\u69cb\u9020\u3092\u6301\u3064<strong>\u56e0\u6570\u5206\u89e3\u624b\u6cd5<\/strong>\u304c\u591a\u6570\u3042\u308a\u307e\u3059\u304c\u3001\u6700\u7d42\u7684\u306b\u306f\u540c\u3058\u3082\u306e\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u591a\u9805\u5f0f\u69cb\u6210\u306b\u95a2\u3059\u308b\u3055\u307e\u3056\u307e\u306a\u30b1\u30fc\u30b9\u3082\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u6b21\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u306f\u3001\u5b58\u5728\u3059\u308b\u3059\u3079\u3066\u306e\u30d7\u30ed\u30b7\u30fc\u30b8\u30e3\u3068\u3001\u305d\u308c\u305e\u308c\u306e\u30d7\u30ed\u30b7\u30fc\u30b8\u30e3\u3092\u3044\u3064\u4f7f\u7528\u3059\u308b\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u6700\u5f8c\u306b\u5b9f\u969b\u306e\u4f8b\u306b\u9069\u7528\u3057\u3066\u6982\u5ff5\u306e\u7fd2\u5f97\u3092\u5b8c\u4e86\u3057\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\" id=\"factorizar-un-polinomio-con-la-regla-de-ruffini\"><span id=\"Factorizar_un_polinomio_con_la_regla_de_Ruffini\">\u30eb\u30d5\u30a3\u30cb\u306e\u6cd5\u5247\u3092\u4f7f\u7528\u3057\u3066\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b<\/span><\/h2>\n<p>\u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u306b\u6700\u3082\u3088\u304f\u4f7f\u7528\u3055\u308c\u308b\u65b9\u6cd5\u306f\u3001\u4f7f\u3044\u3084\u3059\u304f\u7d50\u679c\u304c\u3059\u3050\u306b\u898b\u3064\u304b\u308b<a href=\"https:\/\/mathority.org\/ja\/\u30eb\u30d5\u30a3\u30cb\u96fb\u5353\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u30eb\u30c3\u30d5\u30a3\u30fc\u30cb\u306e\u6cd5\u5247<\/a>\u3067\u3059\u3002\u901a\u5e38\u306f\u3001\u3053\u306e\u624b\u6cd5\u3092\u4f7f\u7528\u3057\u3066 2 \u3092\u8d85\u3048\u308b\u6b21\u6570\u306e\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u304b\u3001\u5834\u5408\u306b\u3088\u3063\u3066\u306f 2 \u6b21\u306e\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002<strong>\u3053\u306e\u591a\u9805\u5f0f\u306e\u6839\u3092\u975e\u5e38\u306b\u30b0\u30e9\u30d5\u30a3\u30ab\u30eb\u306b\u53d6\u5f97\u3067\u304d\u308b<\/strong>\u305f\u3081\u3067\u3059\u3002\u305f\u3060\u3057\u3001\u3053\u306e\u4f7f\u7528\u6cd5\u306b\u3064\u3044\u3066\u306f\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u6570\u5f0f\u306e\u6839\u306b\u7126\u70b9\u3092\u5f53\u3066\u305f\u6b21\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u8aac\u660e\u3057\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-media-text alignwide is-stacked-on-mobile\" style=\"grid-template-columns:36% auto\">\n<figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"291\" height=\"732\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/factoriser-le-polynome-avec-ruffini.webp\" data-src=\"\" alt=\"\u30eb\u30d5\u30a3\u30cb\u3092\u4f7f\u7528\u3057\u3066\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3057\u307e\u3059\" class=\"wp-image-5364 size-full lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/09\/Factorizar-polinomio-con-Ruffini.png 291w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/09\/Factorizar-polinomio-con-Ruffini-199x500.png 199w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<div class=\"wp-block-media-text__content\">\n<h3 class=\"wp-block-heading\" id=\"como-hacer-ruffini-para-factorizar-polinomios\">\u30eb\u30d5\u30a3\u30cb\u3067\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u306b\u306f\u3069\u3046\u3059\u308c\u3070\u3088\u3044\u3067\u3059\u304b?<\/h3>\n<p>\u57fa\u672c\u7684\u306b\u3001<strong>\u88ab\u9664\u6570\u306e\u4fc2\u6570\u3092\u6c34\u5e73\u7dda\u306b\u3001\u591a\u9805\u5f0f\u306e\u53ef\u80fd\u306a\u6839\u306e\u5024\u3092\u6a2a\u306b\u66f8\u304f<\/strong>\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u53ef\u80fd\u3067\u3042\u308b\u3068\u8a00\u3046\u306e\u306f\u3001\u30bc\u30ed\u306b\u7b49\u3057\u3044\u5270\u4f59\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u7d04\u6570\u3092\u63a2\u3059\u5fc5\u8981\u304c\u3042\u308b\u304b\u3089\u3067\u3059\u3002\u305d\u308c\u4ee5\u5916\u306e\u5834\u5408\u3001\u3053\u306e\u756a\u53f7\u306f\u6709\u52b9\u306a\u30eb\u30fc\u30c8\u3067\u306f\u306a\u3044\u305f\u3081\u3001\u8a66\u884c\u3092\u7d9a\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u30d2\u30f3\u30c8\u3068\u3057\u3066\u3001\u72ec\u7acb\u9805\u306e\u7d04\u6570 (\u6c34\u5e73\u7dda\u306e\u6700\u5f8c\u306e\u5024) \u306e\u307f\u3092\u8a66\u3059\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u9078\u629e\u3057\u305f\u6570\u5024\u304c\u6b63\u3057\u3044\u304b\u3069\u3046\u304b\u3092\u77e5\u308b\u306b\u306f\u3001\u6b21\u306e\u4e00\u9023<strong>\u306e\u8a08\u7b97\u306b<\/strong>\u5f93\u3046\u3060\u3051\u3067\u6e08\u307f\u307e\u3059\u3002<\/p>\n<p>\u4fc2\u6570\u3092\u6e1b\u3089\u3057\u3001\u30c6\u30b9\u30c8\u3057\u3066\u3044\u308b\u6839\u3092\u639b\u3051\u3066\u3001\u6b21\u306e\u4fc2\u6570\u306e\u4e0b\u306b\u66f8\u304d\u8fbc\u307f\u3001\u5782\u76f4\u52a0\u7b97\u3092\u884c\u3044\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u624b\u9806\u3092\u6700\u5f8c\u307e\u3067\u7e70\u308a\u8fd4\u3059\u3060\u3051\u3067\u3001\u5b8c\u4e86\u3059\u308b\u3068\u3001\u3053\u306e\u5024\u304c\u6b63\u3057\u3044\u304b\u3069\u3046\u304b\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u5270\u4f59\u304c\u30bc\u30ed\u306b\u306a\u308b\u6570\u5024\u306e\u307f\u304c\u6709\u52b9\u3068\u306a\u308b\u305f\u3081\u3067\u3059\u3002<\/p>\n<p>\u5f93\u3046\u5fc5\u8981\u304c\u3042\u308b\u6570\u5b66\u7684\u624b\u9806\u304c\u3088\u304f\u308f\u304b\u3089\u306a\u3044\u5834\u5408\u306f\u3001\u3053\u306e\u30c6\u30ad\u30b9\u30c8\u306e\u5de6\u5074\u306e\u5217\u306b\u3042\u308b\u4f8b\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u307e\u305f\u3001\u6b21\u306e\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3057\u3066\u307f\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059: <strong>x\u00b3 + 2x\u00b2 \u2013 x \u2013 2<\/strong> (\u4f8b\u306b\u57fa\u3065\u304f)\u3002\u6700\u5f8c\u306b\u3001\u6f14\u7fd2\u3092\u6b63\u3057\u304f\u89e3\u3044\u305f\u304b\u3069\u3046\u304b\u3092\u77e5\u308b\u305f\u3081\u306b\u3001\u7d50\u679c\u3092\u6b21\u306e\u7d50\u679c\u3068\u6bd4\u8f03\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u904e\u5270\u306a\u5f0f = x\u00b2 + 3x + 2<\/li>\n<li>\u4f59\u308a = 0<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<p>\u3053\u3053\u3067\u3001<strong>\u56e0\u6570\u5206\u89e3\u306b\u304a\u3051\u308b\u30eb\u30d5\u30a3\u30cb\u306e\u5fdc\u7528<\/strong>\u306b\u3064\u3044\u3066\u7c21\u5358\u306b\u8aac\u660e\u3057\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u3053\u306e\u6570\u5b66\u7684\u30ea\u30bd\u30fc\u30b9\u304c\u3069\u306e\u3088\u3046\u306b\u4f7f\u7528\u3055\u308c\u308b\u304b\u3092\u8a73\u3057\u304f\u77e5\u308a\u305f\u3044\u5834\u5408\u306f\u3001\u30ea\u30f3\u30af\u3057\u305f\u6700\u5f8c\u306e\u8a18\u4e8b\u306b\u30a2\u30af\u30bb\u30b9\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u306f\u3059\u3079\u3066\u304c\u975e\u5e38\u306b\u8a73\u3057\u304f\u8aac\u660e\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u305d\u3046\u306f\u8a00\u3063\u3066\u3082\u3001\u30eb\u30d5\u30a3\u30cb\u306e\u6cd5\u5247\u3092\u4f7f\u7528\u3057\u3066\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3059\u308b\u3053\u3068\u304b\u3089\u59cb\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li><strong>\u30b0\u30ea\u30c3\u30c9\u3092\u63cf\u304d\u307e\u3059\u3002<\/strong>\u4e0a\u306e\u753b\u50cf\u3067\u308f\u304b\u308b\u3088\u3046\u306b\u3001\u30eb\u30c3\u30d5\u30a3\u30fc\u30cb\u3092\u4f5c\u308b\u305f\u3081\u306e\u30dc\u30c3\u30af\u30b9\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002\u57fa\u672c\u7684\u306b\u3001\u5f0f\u306e\u4fc2\u6570\u3092\u6c34\u5e73\u65b9\u5411\u306b\u4e26\u3079\u3066\u3001\u30bc\u30ed\u5024\u3092\u6301\u3064\u4fc2\u6570\u3092\u6b8b\u3055\u305a\u306b\u8a18\u8ff0\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u6700\u7d42\u7684\u306b\u306f\u3001\u753b\u50cf\u306e\u3082\u306e\u3068\u540c\u69d8\u306e\u8868\u73fe\u304c\u5f97\u3089\u308c\u307e\u3059\u304c\u3001\u591a\u9805\u5f0f\u306e\u5024\u304c\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/li>\n<li><strong>\u6839\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/strong>\u69cb\u9020\u3092\u63cf\u753b\u3057\u3001\u3059\u3079\u3066\u306e\u6570\u5024\u304c\u6b63\u3057\u304f\u66f8\u304b\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u305f\u3089\u3001\u6839\u306e\u8a08\u7b97\u306b\u9032\u307f\u307e\u3059\u3002\u3053\u306e\u30ea\u30b9\u30c8 (\u5199\u771f\u4ed8\u304d) \u306e\u3059\u3050\u4e0a\u3067\u8aac\u660e\u3057\u305f\u8a08\u7b97\u30b7\u30fc\u30b1\u30f3\u30b9\u306b\u5f93\u3063\u3066\u3001\u6839\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/li>\n<li><strong>\u6839\u3092 (x \u2013 a) \u306e\u5f62\u5f0f\u3067\u8868\u73fe\u3057\u307e\u3059\u3002<\/strong>\u591a\u9805\u5f0f\u306e\u6839\u304c\u3059\u3079\u3066\u5f97\u3089\u308c\u305f\u3089\u3001\u6b21\u306e\u5f62\u5f0f (x \u2013 a) \u3067\u8868\u73fe\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 a \u304c\u53d6\u5f97\u3057\u305f\u5024\u3067\u3042\u308b\u3053\u3068\u3092\u8003\u616e\u3059\u308b\u3068\u3001\u305f\u3068\u3048\u3070\u3001\u7d50\u679c\u3068\u3057\u3066 x = 2\u3001x = -2\u3001\u304a\u3088\u3073 x = 4 \u3092\u62bd\u51fa\u3057\u305f\u5834\u5408\u3001(x \u2013 2)\u3001(x + 2)\u3001\u304a\u3088\u3073 ( \u00d7 \u2013 4\uff09\u3002<\/li>\n<li><strong>\u3059\u3079\u3066\u306e\u56e0\u5b50\u3092 1 \u3064\u306e\u5f0f\u306b\u53ce\u96c6\u3057\u307e\u3059\u3002<\/strong>\u6700\u7d42\u7684\u306b\u3001\u3059\u3079\u3066\u306e\u6839\u304c\u3059\u3067\u306b\u6b63\u3057\u3044\u5f62\u5f0f\u3067\u8868\u73fe\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3001\u305d\u308c\u3089\u3092 1 \u3064\u306e\u4ee3\u6570\u5f0f\u306b\u53ce\u96c6\u3059\u308b\u3060\u3051\u3067\u6e08\u307f\u307e\u3059\u3002\u524d\u306e\u4f8b\u3092\u7d9a\u3051\u308b\u3068\u3001(x \u2013 2) \u00b7 (x + 2) \u00b7 (x \u2013 4) \u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\" id=\"factorizar-un-polinomio-usando-las-raices-de-un-polinomio\"><span id=\"Factorizar_un_polinomio_usando_las_raices_de_un_polinomio\">\u591a\u9805\u5f0f\u306e\u6839\u3092\u4f7f\u7528\u3057\u3066\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3057\u307e\u3059\u3002<\/span><\/h2>\n<p>\u591a\u9805\u5f0f\u306e\u6839\u672c\u6982\u5ff5\u306b\u3064\u3044\u3066\u306f\u3001\u30eb\u30d5\u30a3\u30cb\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u534a\u5206\u8aac\u660e\u3057\u307e\u3057\u305f\u3002\u305f\u3060\u3057\u3001\u6b63\u78ba\u306a\u5b9a\u7fa9\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u591a\u9805\u5f0f P(x) \u306e\u6839\u306f\u6570\u5024 a \u3067\u3042\u308a\u3001 <strong>P(a) = 0<\/strong>\u3068\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u308c\u306f\u554f\u984c\u306e\u95a2\u6570\u307e\u305f\u306f\u591a\u9805\u5f0f\u3092\u30ad\u30e3\u30f3\u30bb\u30eb\u3067\u304d\u308b\u6570\u3067\u3059\u3002\u8981\u7d04\u3059\u308b\u3068\u3001\u591a\u9805\u5f0f\u3092\u56e0\u5b50\u306e\u7a4d\u306b\u5206\u89e3\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u3068\u8a00\u3048\u307e\u3059\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u6b21\u306e\u5f0f x\u00b2 \u2212 x \u2212 2 \u304c\u4e0e\u3048\u3089\u308c\u3001\u30eb\u30d5\u30a3\u30cb\u306e\u6cd5\u5247\u3092\u4f7f\u7528\u3059\u308b\u304b\u3001\u5358\u7d14\u306b\u4e8c\u6b21\u65b9\u7a0b\u5f0f x\u00b2 \u2212 x \u2212 2 = 0 \u3092\u89e3\u304f\u3053\u3068\u306b\u3088\u3063\u3066\u56e0\u6570\u5206\u89e3\u3059\u308b\u3068\u30012 \u3064\u306e x \u5024 = -1 \u3068 \u304c\u5f97\u3089\u308c\u307e\u3059\u3002 x = 2 \u306a\u306e\u3067\u3001\u3053\u308c\u3089\u3092 (x \u2013 a) \u306e\u5f62\u5f0f\u306b\u5909\u66f4\u3057\u3066\u7d44\u307f\u5408\u308f\u305b\u308b\u3068\u3001\u6b21\u306e\u5f0f\u306b\u5230\u9054\u3057\u307e\u3059: (x + 1) (x \u2212 2)\u3001\u3064\u307e\u308a<strong>\u56e0\u6570\u5206\u89e3\u3055\u308c\u305f\u591a\u9805\u5f0f<\/strong>\u3002\u307e\u305f\u3001\u5f0f\u304c\u8907\u6570\u306e\u9805\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3067\u3082\u3001\u3053\u308c\u3092 2 \u3088\u308a\u5927\u304d\u3044\u6b21\u6570\u306e\u591a\u9805\u5f0f\u306b\u9069\u7528\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\" id=\"factorizar-un-polinomio-por-extraccion-de-factor-comun\"><span id=\"Factorizar_un_polinomio_por_extraccion_de_factor_comun\">\u5171\u901a\u56e0\u6570\u62bd\u51fa\u306b\u3088\u308b\u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3<\/span><\/h2>\n<p>\u72ec\u7acb\u3057\u305f\u9805\u306e\u306a\u3044\u591a\u9805\u5f0f\u3001\u307e\u305f\u306f\u3059\u3079\u3066\u306e\u9805\u306b\u5171\u901a\u306e\u7d04\u6570\u3092\u6301\u3064\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u5834\u5408\u306f\u3001\u3053\u306e\u624b\u6cd5\u3092\u4f7f\u7528\u3057\u3066\u591a\u9805\u5f0f\u3092\u5358\u7d14\u5316\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306b\u306f\u57fa\u672c\u7684\u306b\u3001\u5f0f\u5168\u4f53\u306b<strong>\u5206\u914d\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u9069\u7528\u3057<\/strong>\u3001\u305d\u306e\u7e70\u308a\u8fd4\u3057\u306e\u5171\u901a\u56e0\u6570\u3092\u524a\u9664\u3057\u3001\u591a\u9805\u5f0f\u5168\u4f53\u3092\u4e57\u7b97\u3057\u3066\u52a0\u7b97\u3059\u308b\u3053\u3068\u304c\u542b\u307e\u308c\u307e\u3059\u3002\u4ee5\u4e0b\u306b\u3001\u6700\u521d\u306b\u8aac\u660e\u3057\u305f\u30b1\u30fc\u30b9 (\u72ec\u7acb\u9805\u306e\u306a\u3044\u591a\u9805\u5f0f) \u306e\u4f8b\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<p> 2&#215;3 + 10&#215;2 \u2013 6x = 2x (x2 + 5x \u2013 3)<\/p>\n<h3 class=\"wp-block-heading\" id=\"doble-extraccion-de-factor-comun\">\u5171\u901a\u56e0\u6570\u306e\u4e8c\u91cd\u62bd\u51fa<\/h3>\n<p>\u5171\u901a\u56e0\u5b50\u306e\u62bd\u51fa\u306f\u3001\u8907\u6570\u306e\u5909\u6570\u3092\u542b\u3080\u3088\u308a\u8907\u96d1\u306a\u56e0\u5b50\u3092\u62bd\u51fa\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3082\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002\u307e\u305f\u3001\u30e1\u30a4\u30f3\u5f0f\u81ea\u4f53\u304b\u3089\u6d3e\u751f\u3057\u305f\u591a\u9805\u5f0f\u3092\u62bd\u51fa\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u56e0\u6570\u62bd\u51fa\u306e\u76ee\u7684\u306f\u4ee3<strong>\u6570\u5f0f\u3092\u53ef\u80fd\u306a\u9650\u308a\u5358\u7d14\u5316\u3059\u308b\u3053\u3068\u3067<\/strong>\u3042\u308b\u305f\u3081\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u6f14\u7b97\u3092\u5b9f\u884c\u3059\u308b\u5834\u5408\u306f\u5236\u9650\u3092\u8a2d\u5b9a\u3057\u306a\u3044\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\" id=\"factorizacion-de-polinomios-mediante-identidades-notables\"><span id=\"Factorizacion_de_polinomios_mediante_identidades_notables\">\u6ce8\u76ee\u3059\u3079\u304d\u6052\u7b49\u5f0f\u3092\u4f7f\u7528\u3057\u305f\u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3<\/span><\/h2>\n<p><a href=\"https:\/\/mathority.org\/ja\" target=\"_blank\" rel=\"noreferrer noopener\">\u6ce8\u76ee\u3059\u3079\u304d\u88fd\u54c1\u306f\u3001<\/a>\u591a\u9805\u5f0f\u304c\u4e00\u7a2e\u306e\u5358\u7d14\u5316\u3055\u308c\u305f\u4ee3\u6570\u5f0f\u3067\u3042\u308b\u305f\u3081\u3001\u56e0\u6570\u5206\u89e3\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u308c\u3089\u306f\u3001\u9577\u3044\u591a\u9805\u5f0f\u304b\u3089\u3044\u304f\u3064\u304b\u306e\u9805\u3067\u69cb\u6210\u3055\u308c\u308b\u5c0f\u3055\u306a\u5f0f\u306b\u76f4\u63a5\u5909\u63db\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u6ce8\u76ee\u3059\u3079\u304d\u30a2\u30a4\u30c7\u30f3\u30c6\u30a3\u30c6\u30a3\u306e\u516c\u5f0f\u3092<\/strong>\u5b66\u7fd2\u3057\u3001\u3044\u3064\u4f7f\u7528\u3067\u304d\u308b\u304b\u3092\u3059\u3050\u306b\u7279\u5b9a\u3067\u304d\u308b\u3088\u3046\u306b\u3059\u308b\u3053\u3068\u3092\u5f37\u304f\u304a\u52e7\u3081\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001Ruffini \u307e\u305f\u306f\u305d\u306e\u4ed6\u306e\u65b9\u6cd5\u3092\u4f7f\u7528\u3057\u3066\u30d5\u30a1\u30af\u30bf\u30ea\u30f3\u30b0\u3059\u308b\u6642\u9593\u3092\u7bc0\u7d04\u3067\u304d\u307e\u3059\u3002\u6b21\u306b\u3001\u5b66\u7fd2\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b 3 \u3064\u306e\u30eb\u30fc\u30eb\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li><strong>\u4e8c\u4e57\u306e\u5dee:<\/strong> a\u00b2 \u2013 b\u00b2 = (a + b) \u00b7 (a \u2013 b)<\/li>\n<li><strong>\u548c\u306e\u4e8c\u4e57:<\/strong> a\u00b2 + 2ab + b\u00b2 = (a + b)\u00b2<\/li>\n<li><strong>\u6e1b\u7b97\u4e8c\u4e57:<\/strong> a\u00b2 \u2013 2ab + b\u00b2 = (a \u2013 b)\u00b2<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\" id=\"factorizacion-de-polinomios-por-agrupacion\"><span id=\"Factorizacion_de_polinomios_por_agrupacion\">\u30b0\u30eb\u30fc\u30d7\u5316\u306b\u3088\u308b\u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3<\/span><\/h2>\n<p>\u5834\u5408\u306b\u3088\u3063\u3066\u306f<strong>\u3001 x\u00b2 \u2013 ax \u2013 bx + ab<\/strong>\u3068\u3044\u3046\u69cb\u9020\u306e\u591a\u9805\u5f0f\u304c\u898b\u3064\u304b\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u5171\u901a\u56e0\u6570 x (x \u2013 a) \u2013 b (x \u2013 a) \u3092\u524a\u9664\u3059\u308b\u3053\u3068\u3067\u7c21\u7565\u5316\u3067\u304d\u307e\u3059\u3002\u305d\u3057\u3066\u3001\u3082\u3046\u4e00\u5ea6\u5171\u901a\u56e0\u6570\u3092\u53d6\u308b\u3068\u3001(x \u2013 a) \u00b7 (x \u2013 b) \u306e\u3088\u3046\u306b\u3055\u3089\u306b\u5358\u7d14\u5316\u3067\u304d\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u591a\u9805\u5f0f\u306e\u6839\u306f x = a \u304a\u3088\u3073 x = b \u306b\u306a\u308a\u307e\u3059\u3002\u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4ee3\u6570\u5f0f\u306f\u3001\u56e0\u6570\u5206\u89e3\u3068\u4f7f\u7528\u304c\u975e\u5e38\u306b\u7c21\u5358\u306a\u69cb\u9020\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\" id=\"ejercicios-de-factorizacion-de-polinomios\"><span id=\"Ejercicios_de_factorizacion_de_polinomios\">\u591a\u9805\u5f0f\u56e0\u6570\u5206\u89e3\u306e\u6f14\u7fd2<\/span><\/h2>\n<p>\u6700\u5f8c\u306b\u3001\u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u3092\u7df4\u7fd2\u3067\u304d\u308b<strong>\u4e00\u9023\u306e\u6f14\u7fd2<\/strong>\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u3053\u3046\u3059\u308b\u3053\u3068\u3067\u3001\u4eca\u65e5\u8aac\u660e\u3057\u305f\u7406\u8ad6\u3092\u3088\u308a\u3088\u304f\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u7c21\u5358\u306b\u8a00\u3046\u3068\u3001\u30ce\u30fc\u30c8\u30d6\u30c3\u30af\u5185\u306e\u6f14\u7fd2\u3092\u89e3\u3044\u3066\u3001\u305d\u306e\u7d50\u679c\u3092\u4ee5\u4e0b\u306b\u63d0\u4f9b\u3059\u308b\u7d50\u679c\u3068\u6bd4\u8f03\u3059\u308b\u3060\u3051\u3067\u3059\u3002<\/p>\n<ul>\n<li> <strong>x <sup>4<\/sup> -1 =<\/strong> (x <sup>2<\/sup> + 1) (x + 1) (x \u2013 1)<\/li>\n<li> <strong>x <sup>5<\/sup> + x <sup>4<\/sup> \u2013 x \u2013 1 =<\/strong> (x \u2013 1) (x + 1) <sup>2<\/sup> (x <sup>2<\/sup> + 1)<\/li>\n<li> <strong><strong><sup>9\u00d72<\/sup><\/strong> + 30x + 25 =<\/strong> (3x + 5) <sup>2<\/sup><\/li>\n<li> <strong>x <sup>4<\/sup> \u2013 3x <sup>3<\/sup> \u2013 3x <sup>2<\/sup> + 11x \u2013 6 =<\/strong> (x + 2) (x \u2013 3) (x \u2013 1) <sup>2<\/sup><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u591a\u9805\u5f0f\u56e0\u6570\u5206\u89e3\u3068\u306f\u4f55\u3067\u3059\u304b?\u3053\u308c\u306f\u3001\u591a\u9805\u5f0f\u3092\u3088\u308a\u5358\u7d14\u306a\u56e0\u5b50\u307e\u305f\u306f\u5f0f\u306b\u5206\u89e3\u3067\u304d\u308b\u6570\u5b66\u7684\u624b\u6cd5\u3067\u3059\u3002\u3053\u306e\u5358\u7d14\u5316\u306e\u304a\u304b\u3052\u3067\u3001\u3044\u304f\u3064\u304b\u306e\u4ee3\u6570\u5f0f\u9593\u306e\u6f14\u7b97\u3092\u3088\u308a\u7c21\u5358\u304b\u3064\u5feb\u9069\u306b\u5b9f\u884c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u591a\u9805\u5f0f\u3092 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e9%9a%8e%e4%b9%97%e5%a4%9a%e9%a0%85%e5%bc%8f\/\"> <span class=\"screen-reader-text\">\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u65b9\u6cd5<\/span> 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