{"id":98,"date":"2023-07-17T06:26:25","date_gmt":"2023-07-17T06:26:25","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e5%a4%9a%e9%a0%85%e5%bc%8f\/"},"modified":"2023-07-17T06:26:25","modified_gmt":"2023-07-17T06:26:25","slug":"%e5%a4%9a%e9%a0%85%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e5%a4%9a%e9%a0%85%e5%bc%8f\/","title":{"rendered":"\u591a\u9805\u5f0f"},"content":{"rendered":"<p>\u5358\u9805\u5f0f\u306f\u3001\u5909\u6570\u306b\u6307\u6570\u3092\u4e57\u7b97\u3059\u308b\u4fc2\u6570 (\u6570\u5024) \u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b<strong>\u4ee3\u6570\u5f0f<\/strong>\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u5f0f 4x\u00b2 \u306f\u5358\u9805\u5f0f\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u6570\u5b66\u7684\u6982\u5ff5\u304b\u3089\u3001\u3044\u304f\u3064\u304b\u306e\u5358\u9805\u5f0f\u306e\u52a0\u7b97\u3068\u6e1b\u7b97\u306e\u30bb\u30c3\u30c8\u3067\u3042\u308b\u591a\u9805\u5f0f\u306b\u5230\u9054\u3057\u307e\u3059\u3002\u4e0a\u306e\u753b\u50cf\u3067\u306f\u3001\u8907\u6570\u306e\u5358\u9805\u5f0f\u3067\u69cb\u6210\u3055\u308c\u308b\u591a\u9805\u5f0f\u306e\u69cb\u9020\u306e\u4f8b\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"417\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/parties-dun-polynome.webp\" data-src=\"\" alt=\"\u591a\u9805\u5f0f\u306e\u4e00\u90e8\" class=\"wp-image-5343 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/09\/Partes-de-un-polinomio-800x417.jpg 800w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/09\/Partes-de-un-polinomio-500x260.jpg 500w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/09\/Partes-de-un-polinomio-768x400.jpg 768w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/09\/Partes-de-un-polinomio.jpg 818w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\" id=\"tipos-de-polinomios\"><span id=\"Tipos_de_polinomios\">\u591a\u9805\u5f0f\u306e\u7a2e\u985e<\/span><\/h2>\n<p>\u7279\u5b9a\u306e\u5358\u9805\u5f0f\u306e\u6307\u6570\u3092\u901a\u3058\u3066\u3001\u591a\u9805\u5f0f\u3092\u3055\u307e\u3056\u307e\u306a\u30bf\u30a4\u30d7\u306b\u5206\u985e\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u5f0f\u306f\u30011 \u6b21\u591a\u9805\u5f0f\u30012 \u6b21\u591a\u9805\u5f0f\u30013 \u6b21\u591a\u9805\u5f0f\u306a\u3069\u306e\u30ab\u30c6\u30b4\u30ea\u306b\u5206\u985e\u3067\u304d\u307e\u3059\u3002\u57fa\u672c\u7684\u306b\u3001\u6700\u5927\u306e\u6307\u6570\u3092\u6301\u3061\u3001<strong>\u591a\u9805\u5f0f\u306e\u6b21\u6570<\/strong>\u3068\u306a\u308b\u5358\u9805\u5f0f\u3092\u7279\u5b9a\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u308c\u304c\u5206\u304b\u308c\u3070\u3001\u4eca\u304a\u8a71\u3057\u3057\u305f\u30bf\u30a4\u30d7\u306e\u3044\u305a\u308c\u304b\u306b\u5206\u985e\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\" id=\"polinomio-de-varias-variables\">\u8907\u6570\u306e\u5909\u6570\u306e\u591a\u9805\u5f0f<\/h3>\n<p>\u3055\u3089\u306b\u3001\u591a\u9805\u5f0f\u3092\u69cb\u6210\u3059\u308b\u5358\u9805\u5f0f\u306e\u6570\u306b\u5fdc\u3058\u3066\u591a\u9805\u5f0f\u3092\u7de8\u6210\u3059\u308b\u5225\u306e\u65b9\u6cd5\u3082\u3042\u308a\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001 <strong>binomial<\/strong>\u304c\u3042\u308b\u5834\u5408\u3001\u3053\u308c\u306f 2 \u3064\u306e\u9805\u3092\u542b\u3080\u591a\u9805\u5f0f\u3092\u6301\u3064\u3053\u3068\u3068\u540c\u7b49\u306b\u306a\u308a\u3001 <strong>trinomial<\/strong>\u304c\u3042\u308b\u5834\u5408\u3001\u3053\u308c\u306f 3 \u3064\u306e\u9805\u3092\u542b\u3080\u591a\u9805\u5f0f\u3092\u6301\u3064\u3053\u3068\u3068\u540c\u7b49\u306b\u306a\u308a\u307e\u3059\u3002\u591a\u9805\u5f0f\u3092\u30ab\u30bf\u30ed\u30b0\u5316\u3059\u308b\u3053\u308c\u3089\u306e\u65b9\u6cd5\u306b\u306f\u3059\u3079\u3066\u3001\u7121\u9650\u306b\u591a\u304f\u306e\u30b5\u30d6\u30ab\u30c6\u30b4\u30ea\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u5f0f\u306f\u4efb\u610f\u306e\u5358\u9805\u5f0f\u3067\u69cb\u6210\u3067\u304d\u3001\u4efb\u610f\u306e\u6b21\u6570\u3092\u6301\u3064\u3053\u3068\u3082\u3067\u304d\u308b\u305f\u3081\u3067\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\" id=\"caracteristicas-y-propiedades-de-los-polinomios\"><span id=\"Caracteristicas_y_propiedades_de_los_polinomios\">\u591a\u9805\u5f0f\u306e\u7279\u5fb4\u3068\u6027\u8cea<\/span><\/h2>\n<ul>\n<li><strong>\u591a\u9805\u5f0f\u306e\u7d76\u5bfe\u6b21\u6570:<\/strong>\u524d\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u306f\u3001\u76f8\u5bfe\u6b21\u6570\u306e\u5b9a\u7fa9\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3057\u305f\u3002\u3057\u304b\u3057\u3001\u8907\u6570\u306e\u5909\u6570\u3067\u5f62\u6210\u3055\u308c\u308b\u591a\u9805\u5f0f\u306e\u5834\u5408\u3001\u3053\u306e\u5358\u9805\u5f0f\u306e\u3059\u3079\u3066\u306e\u5909\u6570\u306e\u6307\u6570\u306e\u6700\u5927\u5408\u8a08\u306b\u7b49\u3057\u3044\u7d76\u5bfe\u6b21\u6570\u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u5358\u9805\u5f0f 5x\u00b2y\u00b3 \u3067\u306f\u3001\u7d76\u5bfe\u6b21\u6570\u306f 2 + 3 = 5 \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/li>\n<li><strong>\u9806\u5e8f\u591a\u9805\u5f0f:<\/strong>\u5909\u6570\u306e\u6307\u6570\u304c\u6607\u9806\u307e\u305f\u306f\u964d\u9806\u306b\u914d\u7f6e\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3001\u305d\u306e\u5909\u6570\u306b\u95a2\u3057\u3066<a href=\"https:\/\/mathority.org\/ja\/\u591a\u9805\u5f0f\u6b21\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u9806\u5e8f\u591a\u9805\u5f0f<\/a>\u3092\u5b9a\u7fa9\u3057\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u3053\u306e\u591a\u9805\u5f0f P(x) = 3x + 4x\u00b3 \u2013 x\u00b2 \u304c\u898b\u3064\u304b\u3063\u305f\u5834\u5408\u3001\u3053\u306e\u5834\u5408\u306f\u9806\u5e8f\u4ed8\u3051\u3055\u308c\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u308c\u3092\u4fee\u6b63\u3059\u308b\u3068\u3001\u6b21\u306e\u7d50\u679c\u304c\u5f97\u3089\u308c\u307e\u3059: P(x) = 4x\u00b3 \u2013 x\u00b2 + 3x\u3002<\/li>\n<li><strong>\u5b8c\u5168\u306a\u591a\u9805\u5f0f:<\/strong>\u3059\u3079\u3066\u306e\u53ef\u80fd\u306a\u6307\u6570 (\u6700\u9ad8\u6b21\u6570\u304b\u3089\u72ec\u7acb\u9805\u307e\u3067) \u3092\u542b\u3080\u5358\u9805\u5f0f\u3092\u542b\u3080\u591a\u9805\u5f0f\u3092\u898b\u3064\u3051\u305f\u5834\u5408\u3001\u305d\u308c\u306f<a href=\"https:\/\/mathority.org\/ja\/\u5b8c\u5168\u306a\u591a\u9805\u5f0f\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u5b8c\u5168\u306a\u591a\u9805\u5f0f<\/a>\u3067\u3042\u308b\u3068\u8a00\u3044\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u6b21\u306e\u5f0f: P(x) = 3 x\u00b2 + 2x \u2013 4 \u306f\u30012 \u3068 0 \u306e\u9593\u306b\u6b20\u843d\u3057\u3066\u3044\u308b\u6307\u6570\u304c\u306a\u3044\u305f\u3081\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306b\u306a\u308a\u307e\u3059\u3002<\/li>\n<li><strong>\u540c\u6b21\u591a\u9805\u5f0f:<\/strong>\u5404\u5358\u9805\u5f0f\u306e\u7d76\u5bfe\u6b21\u6570\u304c\u7b49\u3057\u3044\u591a\u9805\u5f0f\u3067\u3059\u3002\u5909\u6570\u306e\u6307\u6570\u306f\u7570\u306a\u308b\u5024\u3092\u6301\u3064\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u304c\u3001\u3059\u3079\u3066\u306e\u5358\u9805\u5f0f\u306b\u304a\u3051\u308b\u5909\u6570\u306e\u6307\u6570\u306e\u5408\u8a08\u306f\u5fc5\u305a\u540c\u3058\u3067\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002\u305f\u3068\u3048\u3070\u3001P(x) = x\u00b2y\u00b3z + 3 x <sup>4<\/sup> yz\u30012 \u3064\u306e\u5408\u8a08\u306f 6 2 + 3 + 1 = 4 + 1 + 1 = 6 \u3068\u306a\u308a\u307e\u3059\u3002<\/li>\n<li><strong>\u540c\u4e00\u306e\u591a\u9805\u5f0f:<\/strong>\u540c\u3058\u9805\u306e\u4fc2\u6570\u3092\u5171\u6709\u3059\u308b 2 \u3064\u4ee5\u4e0a\u306e\u591a\u9805\u5f0f\u304c\u898b\u3064\u304b\u3063\u305f\u5834\u5408\u3001\u305d\u308c\u3089\u306f\u540c\u4e00\u306e\u591a\u9805\u5f0f\u3067\u3042\u308b\u3068\u8a00\u3044\u307e\u3059\u3002\u4ee5\u4e0b\u306b 2 \u3064\u306e\u591a\u9805\u5f0f\u9593\u306e\u4f8b\u3092\u793a\u3057\u307e\u3059: P(x) = 2x + 27 \u3068 Q(x) = 5 (x + 3) \u2013 3 (x \u2013 4)\u3002\u3053\u308c\u3089\u306f\u5404\u6307\u6570\u306e\u4fc2\u6570\u3092\u5171\u6709\u3059\u308b\u305f\u3081\u540c\u4e00\u306b\u306a\u308a\u307e\u3059\u3002 : 2x = 5x \u2013 3x \u304a\u3088\u3073 27 = 15 + 12\u3002<\/li>\n<li><strong>\u30bc\u30ed\u591a\u9805\u5f0f:<\/strong>\u3053\u306e\u591a\u9805\u5f0f\u306b\u306f\u30bc\u30ed\u4fc2\u6570 (\u30bc\u30ed\u306b\u7b49\u3057\u3044) \u3057\u304b\u306a\u3044\u305f\u3081\u3001\u591a\u9805\u5f0f\u306e\u5408\u8a08\u5024\u3082\u30bc\u30ed\u306b\u306a\u308a\u307e\u3059\u3002\u591a\u9805\u5f0f P(x) = 0x\u00b3 + 0x\u00b2 \u2013 0x \u2013 0 \u306f\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u591a\u9805\u5f0f\u306e\u660e\u78ba\u306a\u4f8b\u3067\u3059\u304c\u3001Q(x) = 0 \u3068\u6df7\u540c\u3057\u306a\u3044\u3067\u304f\u3060\u3055\u3044\u3002\u3053\u306e\u5834\u5408\u3001\u65b9\u7a0b\u5f0f\u3092\u4f5c\u6210\u3057\u307e\u3059\u304c\u3001\u5f0f\u306f\u4f5c\u6210\u3055\u308c\u307e\u305b\u3093\u3002 Q(x) \u306e\u3059\u3079\u3066\u306e\u4fc2\u6570\u304c 0 \u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\" id=\"valor-numerico-de-un-polinomio\"><span id=\"Valor_numerico_de_un_polinomio\">\u591a\u9805\u5f0f\u306e\u6570\u5024<\/span><\/h2>\n<p><strong>\u591a\u9805\u5f0f\u306e\u6570\u5024\u306f\u3001<\/strong>\u3053\u306e\u5f0f\u306e\u5909\u6570\u3092\u6570\u5024\u306b\u7f6e\u304d\u63db\u3048\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u308b\u7d50\u679c\u3067\u3059\u3002\u3053\u306e\u591a\u9805\u5f0f\u3092<a href=\"https:\/\/mathority.org\/ja\/\u8907\u5408\u64cd\u4f5c\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u7d50\u5408\u6f14\u7b97<\/a>\u3067\u3042\u308b\u304b\u306e\u3088\u3046\u306b\u89e3\u304f\u5fc5\u8981\u304c\u3042\u308b\u3060\u3051\u3067\u3059\u3002\u6b21\u306b\u3001\u3053\u306e\u3088\u3046\u306a\u5f0f\u306e\u6570\u5024\u3092\u53d6\u5f97\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3067\u304d\u308b 3 \u3064\u306e\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li><strong>\u76f4\u63a5\u7f6e\u63db:<\/strong>\u591a\u9805\u5f0f\u306e\u5404\u5909\u6570\u306b\u5bfe\u5fdc\u3059\u308b\u5024\u304c\u76f4\u63a5\u4e0e\u3048\u3089\u308c\u305f\u5834\u5408\u3001\u3053\u308c\u3089\u306e\u5909\u6570\u3092\u3053\u308c\u3089\u306e\u6570\u5024\u306b\u7f6e\u304d\u63db\u3048\u308b\u3060\u3051\u3067\u3059\u3002\u3053\u306e\u3088\u3046\u306b\u3001\u591a\u9805\u5f0f P(x) = 2x\u00b2 \u2013 x + 4 \u304c\u3042\u308a\u3001x = 3 \u3067\u3042\u308b\u3068\u4f1d\u3048\u3089\u308c\u305f\u5834\u5408\u3001\u591a\u9805\u5f0f\u306e\u6570\u5024\u306f 2 \u00b7 3\u00b2 \u2013 3 + 4 = 19 \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/li>\n<li><strong>\u5909\u6570\u306e\u89e3\u6c7a:<\/strong>\u5909\u6570\u306e\u5024\u304c\u76f4\u63a5\u4e0e\u3048\u3089\u308c\u306a\u3044\u304c\u3001\u7b49\u4fa1\u6027\u304c\u5f97\u3089\u308c\u308b\u5834\u5408\u306b\u3053\u306e\u30b1\u30fc\u30b9\u3092\u9069\u7528\u3057\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001P(2) P(x \u2013 1) = x\u00b3 \u2013 2x + 1 \u304c true \u306e\u5834\u5408\u3001\u307e\u305a\u65b9\u7a0b\u5f0f 2 = x \u2013 1 \u3092\u89e3\u304d\u3001x = 3 \u3092\u53d6\u5f97\u3057\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u6b21\u306e\u5f0f\u306b 3 \u3092\u4ee3\u5165\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 x\u30013\u00b3 \u2013 2 \u00b7 3 + 1 = 22 \u3068\u306a\u308a\u307e\u3059\u3002<\/li>\n<li><strong>\u5909\u6570\u306e\u5909\u66f4:<\/strong>\u591a\u9805\u5f0f P(x) = 4x \u2013 2 \u304c\u3042\u308a\u3001P(x + 2) \u306e\u3053\u306e\u5024\u3092\u77e5\u308a\u305f\u3044\u5834\u5408\u3002\u6b21\u306b\u3001\u5f0f\u5185\u306e\u3059\u3079\u3066\u306e x \u3092 a(x+2) \u306b\u5909\u66f4\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3046\u306f\u8a00\u3063\u3066\u3082\u3001\u3053\u306e\u6700\u5f8c\u306b\u89e3\u6c7a\u3055\u308c\u305f\u4f8b\u304c\u3069\u306e\u3088\u3046\u306b\u306a\u308b\u304b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046: P (x + 2) = 4 (x + 2) \u2013 2\u3002<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\" id=\"operaciones-con-polinomios\"><span id=\"Operaciones_con_polinomios\">\u591a\u9805\u5f0f\u3092\u4f7f\u7528\u3057\u305f\u6f14\u7b97<\/span><\/h2>\n<p>\u4ee5\u4e0b\u3067\u306f\u3001\u5e38\u306b<a href=\"https:\/\/mathority.org\/ja\/\u64cd\u4f5c\u306e\u968e\u5c64\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u6f14\u7b97\u306e\u968e\u5c64<\/a>\u306b\u5f93\u3044\u3001<strong>\u591a\u9805\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u57fa\u672c\u7684\u306a\u56db\u5247\u6f14\u7b97<\/strong>\u3092\u89e3\u304f\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u5404\u30bb\u30af\u30b7\u30e7\u30f3\u306b\u306f\u3001\u305d\u308c\u305e\u308c\u306e\u30b1\u30fc\u30b9\u3067\u3069\u306e\u3088\u3046\u306b\u9032\u3081\u308b\u304b\u3092\u77e5\u308b\u305f\u3081\u306e\u5c0f\u3055\u306a\u7406\u8ad6\u3068\u3044\u304f\u3064\u304b\u306e\u5b9f\u8df5\u7684\u306a\u4f8b\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\" id=\"suma-de-polinomios\">\u591a\u9805\u5f0f\u306e\u52a0\u7b97<\/h3>\n<p>\u591a\u9805\u5f0f\u3092\u8ffd\u52a0\u3059\u308b\u306b\u306f\u3001\u591a\u9805\u5f0f\u306f<strong>\u985e\u4f3c\u306e\u9805<\/strong>\u3067\u306e\u307f\u30b0\u30eb\u30fc\u30d7\u5316\u3067\u304d\u308b\u3068\u3044\u3046\u4e8b\u5b9f\u3092\u8003\u616e\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u591a\u9805\u5f0f P(x) = 3x\u00b3 \u2013 x\u00b2 + 2x \u2013 4 \u304a\u3088\u3073 Q(x) = 2x\u00b2 + 3x \u2013 2 \u304c\u3042\u308b\u3068\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001P(x) + Q(x) \u3092\u4f5c\u6210\u3059\u308b\u306b\u306f\u3001\u540c\u3058\u6307\u6570\u3092\u4f34\u3046 2 \u3064\u306e\u591a\u9805\u5f0f\u306e\u4fc2\u6570\u3092\u52a0\u7b97\u3057\u307e\u3059\u3002 P(x) + Q(x) = 3x\u00b3 + (-x) \u00b2 + 2x\u00b2) + ( 2x + 3x) + (-4 -2) = 3x\u00b3 + x\u00b2 + 5x \u2013 6. \u8981\u7d04\u3059\u308b\u3068\u3001\u985e\u4f3c\u3057\u305f\u5404\u9805\u306e\u4fc2\u6570\u3092\u30b0\u30eb\u30fc\u30d7\u5316\u3057\u3066\u52a0\u7b97\u3057\u3001\u6700\u7d42\u7684\u306b\u306f\u3059\u3079\u3066\u306e\u9805\u3092 1 \u3064\u306e\u591a\u9805\u5f0f\u3067\u8868\u73fe\u3057\u305f\u3068\u8a00\u3048\u307e\u3059\u3002 \u3002<\/p>\n<h3 class=\"wp-block-heading\" id=\"resta-de-polinomios\">\u591a\u9805\u5f0f\u306e\u6e1b\u7b97<\/h3>\n<p>\u591a\u9805\u5f0f\u306e\u6e1b\u7b97\u306f\u52a0\u7b97\u3068\u540c\u3058\u65b9\u6cd5\u3067\u89e3\u6c7a\u3055\u308c\u307e\u3059\u304c\u3001\u552f\u4e00\u306e\u9055\u3044\u306f\u660e\u3089\u304b\u306b\u8a18\u53f7\u3067\u3059\u3002\u6b21\u306b\u3001\u985e\u4f3c\u3057\u305f\u7528\u8a9e\u3092\u30b0\u30eb\u30fc\u30d7\u5316\u3057\u3001\u3059\u3079\u3066\u3092\u6e1b\u7b97\u3057\u3066 1 \u3064\u306e\u5f0f\u306b\u5909\u63db\u3057\u307e\u3059\u3002\u4ee5\u4e0b\u306b\u4f8b\u3092\u4f7f\u7528\u3057\u3066\u8aac\u660e\u3057\u307e\u3059\u3002P(x) = 5x\u00b3 \u2013 2x\u00b2 + x \u2013 3 \u304a\u3088\u3073 Q(x) = 3x\u00b2 + 5x + 4\u3001\u305d\u306e\u5f8c P(x) \u2013 Q(x ) = 5x\u00b3 + (-2x\u00b2 + 3x\u00b2) + (x + 5x) + (-3 + 4) = 5x\u00b3 + x\u00b2 + 6x + 1\u3002<\/p>\n<h3 class=\"wp-block-heading\" id=\"multiplicacion-de-polinomios\">\u591a\u9805\u5f0f\u4e57\u7b97<\/h3>\n<p>\u3053\u306e\u30bf\u30a4\u30d7\u306e\u639b\u3051\u7b97\u3092\u89e3\u304f\u3068\u304d\u306f\u3001\u5c11\u3057\u8907\u96d1\u306b\u306a\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u304c\u3001\u3053\u308c\u304b\u3089\u8aac\u660e\u3059\u308b\u3059\u3079\u3066\u306e\u624b\u9806\u306b\u5f93\u3048\u3070\u554f\u984c\u3042\u308a\u307e\u305b\u3093\u3002\u3053\u306e\u6570\u5b66\u7684\u6f14\u7b97\u3067\u306f\u3001\u3059\u3079\u3066\u306e\u5358\u9805\u5f0f\u304c\u4ed6\u306e\u3059\u3079\u3066\u306e\u5358\u9805\u5f0f\u3068\u4f5c\u7528\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u985e\u4f3c\u3057\u305f\u9805\u3092\u639b\u3051\u5408\u308f\u305b\u308b\u3060\u3051\u3067\u306f\u306a\u3044\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001<strong>\u4fc2\u6570\u304c\u5909\u5316\u3059\u308b<\/strong>\u3060\u3051\u3067\u306a\u304f\u3001<strong>\u6307\u6570\u3082\u5909\u5316\u3057\u307e\u3059<\/strong>\u3002\u3053\u306e\u4f8b\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u3059\u3079\u3066\u304c\u3088\u308a\u3088\u304f\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059: P(x) = 2x\u00b2 + 3x \u2013 1 \u304a\u3088\u3073 Q(x) = 2x + 3:<\/p>\n<p> P(x) Q(x) = (<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\"> 2x\u00b2<\/mark> +<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"> 3\u500d<\/mark>\u2013<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-green-cyan-color\">1<\/mark> )\u30fb( <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-amber-color\"> 2\u500d<\/mark>+ <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"> 3<\/mark> ) =<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\"> 2x\u00b2<\/mark> \u00b7 <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-amber-color\"> 2\u500d<\/mark>+<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\"> 2x\u00b2<\/mark> \u00b7 <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"> 3<\/mark> +<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"> 3\u500d<\/mark>\u00b7 <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-amber-color\"> 2\u500d<\/mark>+<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"> 3\u500d<\/mark>\u00b7 <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"> 3<\/mark> + (<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-green-cyan-color\">-1<\/mark> \uff09\u30fb<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-amber-color\"> 2\u500d<\/mark>+ (<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-green-cyan-color\">-1<\/mark> \uff09\u30fb<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\"> 3<\/mark> = 4&#215;3 + 6&#215;2 + 6&#215;2 + 9x \u2013 2x \u2013 3 = 4&#215;3 + 12x\u00b2 + 7x \u2013 3<\/p>\n<p>\u57fa\u672c\u7684\u306b\u3001\u591a\u9805\u5f0f\u306e\u5404\u9805\u306e\u4fc2\u6570\u3092 2 \u756a\u76ee\u306e\u9805\u306e\u3059\u3079\u3066\u306e\u4fc2\u6570\u3067\u4e57\u7b97\u3057\u3001 <strong>a <sup>n<\/sup> \u00b7 a <sup>m<\/sup> = a <sup>n+m<\/sup><\/strong>\u306e\u3079\u304d\u4e57\u7279\u6027\u3092\u9069\u7528\u3057\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\" id=\"division-de-polinomios\">\u591a\u9805\u5f0f\u306e\u5272\u308a\u7b97<\/h3>\n<p>\u6700\u5f8c\u306b\u3001\u591a\u9805\u5f0f\u306e\u5272\u308a\u7b97\u306e\u89e3\u304d\u65b9\u3092\u8aac\u660e\u3059\u308b\u3060\u3051\u3067\u6e08\u307f\u307e\u3059\u3002\u57fa\u672c\u7684\u306b\u306f\u3001\u5272\u308a\u7b97\u306e\u5206\u914d\u7279\u6027\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059: (a + b + c) \u00f7 d = (a \u00f7 d) + (b \u00f7 d) + (c \u00f7 d)\u3002\u307e\u305f\u3001\u6b21\u306e\u3079\u304d\u4e57\u306e\u30d7\u30ed\u30d1\u30c6\u30a3<strong>\u3092<sup>n<\/sup> \u00f7 a <sup>m<\/sup> = a <sup>nm<\/sup>\u306b<\/strong>\u9069\u7528\u3057\u307e\u3059\u3002\u3053\u308c\u3092\u7c21\u5358\u306a\u4f8b\u3067\u898b\u3066\u307f\u307e\u3057\u3087\u3046: P(x) = 3x\u00b3 \u2013 6x\u00b2 + 9x \u304a\u3088\u3073 Q(x) = 3x\u3002<\/p>\n<p> P(x) \u00f7 Q(x) = (<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\"> 3&#215;3<\/mark> \u2013<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"> 6x\u00b2<\/mark> +<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-green-cyan-color\">9\u500d<\/mark>) \u00f7 <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-amber-color\"> 3\u500d<\/mark>= (<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\"> 3&#215;3<\/mark> \u00f7 <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-amber-color\"> 3\u500d<\/mark>) + (<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"> 6x\u00b2<\/mark> \u00f7 <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-amber-color\"> 3\u500d<\/mark>) + (<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-green-cyan-color\">9\u500d<\/mark>\u00f7 <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-amber-color\"> 3\u500d<\/mark>) = x\u00b2 \u2013 2x + 3<\/p>\n<p>\u591a\u9805\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3053\u308c\u3089\u3059\u3079\u3066\u306e\u6f14\u7b97\u3092\u89e3\u6c7a\u3059\u308b\u65b9\u6cd5\u3092\u78ba\u8a8d\u3057\u7d42\u3048\u305f\u306e\u3067\u3001\u305d\u308c\u3092\u5b9f\u969b\u306b\u9069\u7528\u3059\u308b\u65b9\u6cd5\u3092\u7406\u89e3\u3067\u304d\u305f\u3068\u601d\u3044\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u3053\u308c\u306f\u5f53\u3066\u306f\u307e\u3089\u305a\u3001\u3082\u3046\u5c11\u3057\u7df4\u7fd2\u3092\u7d9a\u3051\u305f\u3044\u3068\u601d\u308f\u308c\u308b\u5834\u5408\u306f\u3001 <a href=\"https:\/\/www.vadenumeros.es\/tercero\/ejercicios-de-polinomios.htm\" target=\"_blank\" rel=\"noreferrer noopener\">\u3053\u306e\u30da\u30fc\u30b8\u3067\u89e3\u6c7a\u6e08\u307f\u306e\u6f14\u7fd2<\/a>\u3092\u3044\u304f\u3064\u304b\u53c2\u7167\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306f\u3001\u3053\u308c\u3089\u3059\u3079\u3066\u306e\u6570\u5b66\u7684\u6982\u5ff5\u306e\u5185\u9762\u5316\u3092\u5b8c\u4e86\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\" id=\"factorizacion-de-polinomios\">\u591a\u9805\u5f0f\u306e\u56e0\u6570\u5206\u89e3<\/h3>\n<p><a href=\"https:\/\/mathority.org\/ja\/\u968e\u4e57\u591a\u9805\u5f0f\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u306b\u306f\u3001<\/a>\u3053\u306e\u6700\u5f8c\u306e\u30ea\u30f3\u30af\u306e\u8a18\u4e8b\u3067\u8aac\u660e\u3055\u308c\u3066\u3044\u308b\u3088\u3046\u306b\u624b\u52d5\u3067\u884c\u3046\u3053\u3068\u3082\u3001 <a href=\"https:\/\/mathority.org\/ja\/\u30eb\u30d5\u30a3\u30cb\u96fb\u5353\/\" target=\"_blank\" rel=\"noreferrer noopener\">Ruffini \u8a08\u7b97\u6a5f<\/a>\u3092\u4f7f\u7528\u3057\u3066\u884c\u3046\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u3059\u3050\u306b\u5b9f\u884c\u3057\u305f\u3044\u5834\u5408\u306f\u3001\u3053\u306e 2 \u756a\u76ee\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u304c\u3001\u56e0\u6570\u5206\u89e3\u306e\u65b9\u6cd5\u3092\u5b66\u7fd2\u3057\u3066\u3044\u308b\u3060\u3051\u306e\u5834\u5408\u306f\u3001\u624b\u52d5\u3067\u7df4\u7fd2\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u65b9\u6cd5\u306f\u3001\u72b6\u6cc1\u306b\u5fdc\u3058\u3066\u9078\u629e\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\" id=\"resolver-polinomios-con-la-calculadora-cientifica\"><span id=\"Resolver_polinomios_con_la_calculadora_cientifica\">\u95a2\u6570\u96fb\u5353\u3067\u591a\u9805\u5f0f\u3092\u89e3\u304f<\/span><\/h2>\n<p>\u73fe\u5728\u3001\u3055\u307e\u3056\u307e\u306a\u95a2\u6570\u96fb\u5353\u304c\u5e02\u5834\u306b\u51fa\u56de\u3063\u3066\u3044\u307e\u3059\u3002\u305f\u3060\u3057\u3001<strong>\u591a\u9805\u5f0f\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u308b<\/strong>\u5b89\u4fa1\u306a\u96fb\u5353\u3092\u304a\u63a2\u3057\u306e\u5834\u5408\u306f\u3001 <a href=\"https:\/\/mathority.org\/ja\" target=\"_blank\" rel=\"noreferrer noopener\">Casio FX-991SPX II<\/a>\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002\u4f7f\u3044\u3084\u3059\u304f\u3001\u975e\u5e38\u306b\u5f37\u529b\u3067\u9ad8\u6a5f\u80fd\u306a\u306e\u3067\u3001\u4e2d\u5b66\u751f\u304a\u3088\u3073\u9ad8\u6821\u751f\u306e\u6570\u5b66\u306e\u5b66\u751f\u306b\u6700\u9069\u3067\u3059\u3002\u4ee5\u4e0b\u3067\u306f\u3001\u3053\u306e\u30b9\u30bf\u30a4\u30eb\u306e\u6570\u5f0f\u304c\u3001\u3053\u306e\u30e2\u30c7\u30eb\u307e\u305f\u306f\u540c\u69d8\u306e\u30ab\u30b7\u30aa \u30e2\u30c7\u30eb\u3092\u4f7f\u7528\u3057\u3066\u3069\u306e\u3088\u3046\u306b\u89e3\u304b\u308c\u308b\u304b\u3092\u7c21\u5358\u306b\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<p>\u307e\u305a\u5909\u6570\u306e\u6570\u5024\u3092\u5165\u529b\u3057\u3001\u305d\u308c\u3092\u66f8\u304d\u8fbc\u3093\u3067\u304b\u3089\u3001 <strong>\u300cSTO\u300d+\u5909\u6570\u306e\u6587\u5b57 (<\/strong> x \u306a\u3069) 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\u306f\u5358\u9805\u5f0f\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u6570\u5b66\u7684\u6982\u5ff5\u304b\u3089\u3001\u3044\u304f\u3064\u304b\u306e\u5358\u9805\u5f0f\u306e\u52a0\u7b97\u3068\u6e1b\u7b97\u306e\u30bb\u30c3\u30c8\u3067\u3042\u308b\u591a\u9805\u5f0f\u306b\u5230\u9054\u3057\u307e\u3059\u3002\u4e0a\u306e\u753b\u50cf\u3067\u306f\u3001 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e5%a4%9a%e9%a0%85%e5%bc%8f\/\"> <span class=\"screen-reader-text\">\u591a\u9805\u5f0f<\/span> \u3082\u3063\u3068\u8aad\u3080 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