{"id":11100,"date":"2022-11-17T16:18:06","date_gmt":"2022-11-17T07:18:06","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=11100"},"modified":"2022-11-22T01:45:13","modified_gmt":"2022-11-21T16:45:13","slug":"remainder-theorem","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/remainder-theorem.html","title":{"rendered":"\u5270\u4f59\u306e\u5b9a\u7406\u3068\u56e0\u6570\u5b9a\u7406\uff1a\u4e00\u6b21\u5f0f\u3001\u5546\u3001\u4f59\u308a\u306e\u95a2\u4fc2\u3068\u8a08\u7b97\u65b9\u6cd5"},"content":{"rendered":"\n<p>\u4e00\u6b21\u5f0f\u3068\u4f59\u308a\u306e\u95a2\u4fc2\u3092\u8868\u3059\u5b9a\u7406\u306b\u5270\u4f59\u306e\u5b9a\u7406\u304c\u3042\u308a\u307e\u3059\u3002\u65b0\u305f\u306a\u5185\u5bb9\u3067\u306f\u306a\u304f\u3001\u65e2\u306b\u3042\u306a\u305f\u304c\u77e5\u3063\u3066\u3044\u308b\u4e8b\u5b9f\u3092\u5b9a\u7406\u306b\u3057\u305f\u5185\u5bb9\u304c\u5270\u4f59\u306e\u5b9a\u7406\u3067\u3059\u3002<\/p>\n<p>\u305f\u3060\u3001\u5270\u4f59\u306e\u5b9a\u7406\u3092\u77e5\u3063\u3066\u3044\u306a\u3044\u3068\u554f\u984c\u3092\u89e3\u3051\u306a\u3044\u3053\u3068\u304c\u591a\u3044\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u4e00\u6b21\u5f0f\u3068\u5546\u3001\u4f59\u308a\u306e\u95a2\u4fc2\u3092\u5b66\u3070\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u3053\u308c\u3089\u306e\u95a2\u4fc2\u6027\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u5024\u3092\u4ee3\u5165\u3059\u308b\u3068\u304d\u306b\u5f97\u3089\u308c\u308b\u4f59\u308a\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u3001\u5270\u4f59\u306e\u5b9a\u7406\u3067\u4f59\u308a\u304c\u30bc\u30ed\u306b\u306a\u308b\u3068\u304d\u3001\u56e0\u6570\u5b9a\u7406\u3092\u5229\u7528\u3067\u304d\u307e\u3059\u3002\u7279\u306b\u9ad8\u6b21\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u3092\u3059\u308b\u3068\u304d\u3001\u56e0\u6570\u5b9a\u7406\u304c\u5f79\u306b\u7acb\u3061\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u5270\u4f59\u306e\u5b9a\u7406\u3068\u56e0\u6570\u5b9a\u7406\u3092\u5229\u7528\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u5270\u4f59\u306e\u5b9a\u7406\u3068\u56e0\u6570\u5b9a\u7406\u306e\u5229\u7528\u6cd5\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u4e00\u6b21\u5f0f\u306e\u5272\u308a\u7b97\u3068\u4f59\u308a\u306e\u95a2\u4fc2<\/h2>\n<p>\u307e\u305a\u3001\u5270\u4f59\u306e\u5b9a\u7406\u3068\u306f\u4f55\u304b\u3092\u5b66\u3073\u307e\u3057\u3087\u3046\u3002\u308f\u308a\u7b97\u3092\u3059\u308b\u3068\u3001\u4f59\u308a\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4e00\u6b21\u5f0f\u3092\u5229\u7528\u3057\u3066\u5272\u308a\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u4f59\u308a\u306e\u6570\u3092\u5bb9\u6613\u306b\u5f97\u3089\u308c\u308b\u65b9\u6cd5\u304c\u5270\u4f59\u306e\u5b9a\u7406\u3067\u3059\u3002<\/p>\n<p>\u4ee5\u4e0b\u304c\u5270\u4f59\u306e\u5b9a\u7406\u3067\u3059\u3002<\/p>\n<ul>\n<li>\u6574\u5f0f\\(P(x)\\)\u306b\u5bfe\u3057\u3066\u4e00\u6b21\u5f0f\\((x-a)\\)\u3067\u5272\u308b\u3068\u304d\u3001\u4f59\u308a\u306f\\(P(a)\\)\u3068\u306a\u308b\u3002<\/li>\n<\/ul>\n<p>\u306a\u304a\u3001\u4e00\u6b21\u5f0f\u3068\u3057\u3066\\((x-a)\\)\u3092\u5229\u7528\u3059\u308b\u306e\u3067\u306f\u306a\u304f\u3001\u3088\u308a\u4e00\u822c\u7684\u306a\u4e00\u6b21\u5f0f\u3068\u3057\u3066\\((ax+b)\\)\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306f\u591a\u3044\u3067\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u5270\u4f59\u306e\u5b9a\u7406\u3092\u5229\u7528\u3057\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u6574\u5f0f\\(P(x)\\)\u306b\u5bfe\u3057\u3066\u4e00\u6b21\u5f0f\\((ax+b)\\)\u3067\u5272\u308b\u3068\u304d\u3001\u4f59\u308a\u306f\\(P\\left(-\\displaystyle\\frac{b}{a}\\right)\\)\u3068\u306a\u308b\u3002<\/li>\n<\/ul>\n<p>\u3064\u307e\u308a\u4f59\u308a\u3092\u5f97\u308b\u3068\u304d\u3001\u6574\u5f0f\u306b\u5bfe\u3057\u3066\u5272\u308a\u7b97\u3092\u3059\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3002<span style=\"color: #0000ff;\">\\(x\\)\u306b\u5024\u3092\u4ee3\u5165\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u4f59\u308a\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span>\u305d\u308c\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(P(x)=x^2+ax+4\\)\u3092\\(x+2\\)\u3067\u5272\u308b\u30683\u4f59\u308a\u307e\u3059\u3002\\(a\\)\u306e\u5024\u306f\u4f55\u3067\u3059\u304b\u3002<\/li>\n<\/ul>\n<p>\u5270\u4f59\u306e\u5b9a\u7406\u3092\u5229\u7528\u3059\u308b\u3068\u3001\\(x=-2\\)\u3092\u4ee3\u5165\u3057\u305f\u3068\u304d\u30013\u304c\u4f59\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\\(P(-2)=3\\)\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(P(-2)=4-2a+4=3\\)<\/p>\n<p>\\(-2a=-5\\)<\/p>\n<p>\\(a=\\displaystyle\\frac{5}{2}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(a=\\displaystyle\\frac{5}{2}\\)\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002\u4e00\u6b21\u5f0f\u306e\u5272\u308a\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u5270\u4f59\u306e\u5b9a\u7406\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u4f59\u308a\u306e\u6570\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u3067\u3059\u3002<\/p>\n<h3>\u5546\u3001\u4f59\u308a\u3092\u5f0f\u3067\u8868\u3059\uff1a\u5270\u4f59\u306e\u5b9a\u7406\u306e\u8a3c\u660e<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u5270\u4f59\u306e\u5b9a\u7406\u306f\u4f55\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u5148\u307b\u3069\u8a18\u3057\u305f\u5270\u4f59\u306e\u5b9a\u7406\u306b\u95a2\u3059\u308b\u516c\u5f0f\u3092\u899a\u3048\u308b\u5fc5\u8981\u306f\u306a\u304f\u3001\u5270\u4f59\u306e\u5b9a\u7406\u306e\u610f\u5473\u3092\u5b66\u3073\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u5272\u308a\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u5fc5\u305a\u5272\u308b\u6570\u3001\u5546\u3001\u4f59\u308a\u304c\u3042\u308a\u307e\u3059\u3002\u5546\u3092\\(Q(x)\\)\u3001\u4f59\u308a\u3092\\(R\\)\u3068\u3059\u308b\u3068\u3001\u6574\u5f0f\\(P(x)\\)\u3068\u4e00\u6b21\u5f0f\\((ax+b)\\)\u3068\u306e\u95a2\u4fc2\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(P(x)=(ax+b)Q(x)+R\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u5f0f\u3092\u4f5c\u308c\u308b\u3053\u3068\u306b\u3064\u3044\u3066\u306f\u3001\u554f\u984c\u306a\u304f\u7406\u89e3\u3067\u304d\u308b\u3068\u601d\u3044\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u3001\\(x=-\\displaystyle\\frac{b}{a}\\)\u3092\u4ee3\u5165\u3059\u308b\u3068\u3001\\((ax+b)=0\\)\u306b\u306a\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(P\\left(-\\displaystyle\\frac{b}{a}\\right)=R\\)<\/li>\n<\/ul>\n<p>\u3053\u3046\u3057\u3066\u3001<span style=\"color: #0000ff;\">\u6574\u5f0f\\(P(x)\\)\u306b\u5bfe\u3057\u3066\u4e00\u6b21\u5f0f\\((ax+b)\\)\u3067\u5272\u308b\u3068\u304d\u3001\u4f59\u308a\\(R\\)\u306f\\(P\\left(-\\displaystyle\\frac{b}{a}\\right)\\)\u306b\u306a\u308b\u3068\u8a3c\u660e\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/span>\u5270\u4f59\u306e\u5b9a\u7406\u306e\u8a3c\u660e\u306f\u975e\u5e38\u306b\u7c21\u5358\u3067\u3042\u308a\u3001\u65b0\u305f\u306a\u5185\u5bb9\u3092\u5b66\u3093\u3067\u3044\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u3064\u307e\u308a\u5270\u4f59\u306e\u5b9a\u7406\u3068\u3044\u3046\u306e\u306f\u3001\u300c\u4e00\u6b21\u5f0f\uff08\u5272\u308b\u6570\uff09\u304c0\u3068\u306a\u308b\u5024\u3092\\(P(x)\\)\u306b\u4ee3\u5165\u3059\u308b\u3068\u304d\u306b\u5f97\u3089\u308c\u308b\u4f59\u308a\u300d\u3092\u6307\u3057\u307e\u3059\u3002<\/p>\n<p>\u4e00\u6b21\u5f0f\u304c0\u306b\u306a\u308c\u3070\u3044\u3044\u305f\u3081\u3001\u4e00\u6b21\u5f0f\\((x-a)\\)\u3067\u5272\u308b\u3068\u304d\u3001\\(x-a=0\\)\u3068\u306a\u308b\\(x\\)\u3092\\(P(x)\\)\u3078\u4ee3\u5165\u3059\u308c\u3070\u3044\u3044\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u4e00\u6b21\u5f0f\\((x-a)\\)\u3067\u5272\u308b\u3068\u304d\u306e\u4f59\u308a\u3092\u5f97\u305f\u3044\u5834\u5408\u3001\\(P(a)\\)\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u307e\u305f\u4e00\u6b21\u5f0f\\((ax+b)\\)\u3067\u5272\u308b\u3068\u304d\u3001\\(ax+b=0\\)\u3068\u306a\u308b\\(x\\)\u3092\\(P(x)\\)\u3078\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u306e\u305f\u3081\u3001\\(P\\left(-\\displaystyle\\frac{b}{a}\\right)\\)\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u3053\u308c\u304c\u5270\u4f59\u306e\u5b9a\u7406\u3067\u3059\u3002\u5270\u4f59\u306e\u5b9a\u7406\u304c\u4f55\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u306e\u304b\u5b66\u3079\u3070\u3001\u516c\u5f0f\u3092\u899a\u3048\u308b\u5fc5\u8981\u306f\u306a\u3044\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\\(P(x)=x^2+ax+4\\)\u3092\\(2x+3\\)\u3067\u5272\u308b\u5834\u5408\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(P(x)=(2x+3)Q(x)+R\\)<\/li>\n<\/ul>\n<p>\\(2x+3=0\\)\u306e\u89e3\u306f\\(-\\displaystyle\\frac{3}{2}\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\(P\\left(-\\displaystyle\\frac{3}{2}\\right)\\)\u306b\u3088\u3063\u3066\u4f59\u308a\\(R\\)\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u5270\u4f59\u306e\u5b9a\u7406\u306b\u3064\u3044\u3066\u672c\u8cea\u3092\u5b66\u3079\u3070\u3001\u516c\u5f0f\u3092\u899a\u3048\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<h2>\u56e0\u6570\u5b9a\u7406\uff1a\u4f59\u308a\u304c0\u306e\u5834\u5408\u3001\u56e0\u6570\u5206\u89e3\u3067\u304d\u308b<\/h2>\n<p>\u5148\u307b\u3069\u3001\\(P(x)\\)\u3078\u4ee3\u5165\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u4f59\u308a\u3092\u8a08\u7b97\u3067\u304d\u308b\u3053\u3068\u3092\u89e3\u8aac\u3057\u307e\u3057\u305f\u3002\u305d\u308c\u3067\u306f\u4e00\u6b21\u5f0f\\((x-a)\\)\u3067\u5272\u308b\u3068\u304d\u3001\\(P(a)=0\\)\u306e\u5834\u5408\u306f\u3069\u306e\u3088\u3046\u306b\u8003\u3048\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\\(P(a)=0\\)\u306e\u5834\u5408\u3001\u4f59\u308a\u304c\u306a\u3044\u3053\u3068\u3092\u610f\u5473\u3057\u3066\u3044\u307e\u3059\u3002\u3064\u307e\u308a\\((x-a)\\)\u306f\\(P(x)\\)\u306e\u56e0\u6570\u3067\u3059\u3002\u8a00\u3044\u63db\u3048\u308b\u3068\u3001<span style=\"color: #ff0000;\">\\((x-a)\\)\u3092\u5229\u7528\u3057\u3066\u56e0\u6570\u5206\u89e3\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span>\u3053\u308c\u304c\u56e0\u6570\u5b9a\u7406\u3067\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\\(x^2+3x+2\\)\u306e\u56e0\u6570\u5206\u89e3\u306f\u3069\u306e\u3088\u3046\u306b\u3059\u308c\u3070\u3044\u3044\u3067\u3057\u3087\u3046\u304b\u3002\u3053\u308c\u307e\u3067\u306e\u77e5\u8b58\u3092\u5229\u7528\u3057\u3066\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u56e0\u6570\u5206\u89e3\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(x^2+3x+2=(x+2)(x+1)\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u3068\u304d\u3001\u56e0\u6570\u5b9a\u7406\u3092\u5229\u7528\u3057\u3066\u56e0\u6570\u5206\u89e3\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\\(P(x)=x^2+3x+2\\)\u306b\u3064\u3044\u3066\u3001\\(x\\)\u306b\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\u7b54\u3048\u304c0\u306b\u306a\u308b\u5024\u3092\u898b\u3064\u3051\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308b\u3068\u3001\\(P(-1)=0\\)\u3068\u306a\u308a\u307e\u3059\u3002\\(x=-1\\)\u3001\u3064\u307e\u308a\\(x+1=0\\)\u3068\u306a\u308b\u305f\u3081\u3001\\(P(x)\\)\u306f\\(x+1\\)\u3092\u56e0\u6570\u306b\u3082\u3061\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u8003\u3048\u3001\u56e0\u6570\u5b9a\u7406\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u56e0\u6570\u5206\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u9ad8\u6b21\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u3092\u884c\u3046<\/h3>\n<p>\u4e8c\u6b21\u65b9\u7a0b\u5f0f\u306e\u5834\u5408\u3001\u56e0\u6570\u5b9a\u7406\u3092\u5229\u7528\u305b\u305a\u306b\u56e0\u6570\u5206\u89e3\u3059\u308b\u306e\u304c\u4e00\u822c\u7684\u3067\u3059\u3002\u4e00\u65b9\u3067\u4e09\u6b21\u5f0f\u3084\u56db\u6b21\u5f0f\u306a\u3069\u3001\u9ad8\u6b21\u5f0f\u3067\u306f\u56e0\u6570\u5206\u89e3\u304c\u5927\u5909\u3067\u3059\u3002\u305d\u3053\u3067\u56e0\u6570\u5b9a\u7406\u3092\u5229\u7528\u3057\u3066\u56e0\u6570\u5206\u89e3\u3057\u307e\u3057\u3087\u3046\u3002\u56e0\u6570\u5b9a\u7406\u3092\u5229\u7528\u3059\u308c\u3070\u3001\u3069\u306e\u5f0f\u304c\u56e0\u6570\u306b\u306a\u308b\u306e\u304b\u5bb9\u6613\u306b\u5224\u65ad\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u56e0\u6570\u5206\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(x^3+4x^2+x-6\\)<\/li>\n<\/ul>\n<p>\\(x\\)\u306b\u4f55\u3092\u4ee3\u5165\u3059\u308b\u3068\u3001\u7b54\u3048\u304c0\u306b\u306a\u308b\u3067\u3057\u3087\u3046\u304b\u3002\u30e9\u30f3\u30c0\u30e0\u306b\u5024\u3092\u4ee3\u5165\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u7b54\u3048\u304c0\u306b\u306a\u308b\u30b1\u30fc\u30b9\u3092\u898b\u3064\u3051\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(P(x)=x^3+4x^2+x-6\\)\u306b\u3064\u3044\u3066\u3001\\(P(1)=0\\)\u306b\u306a\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002\\(x=1\\)\u3092\u5909\u5f62\u3059\u308b\u3068\u3001\\(x-1=0\\)\u3067\u3059\u3002\u3064\u307e\u308a\u3001\\(P(x)\\)\u306f\\(x-1\\)\u3092\u56e0\u6570\u306b\u3082\u3061\u307e\u3059\u3002\u305d\u3053\u3067\\(x-1\\)\u3092\u5229\u7528\u3057\u3001\u4fc2\u6570\u304c\u5408\u3046\u3088\u3046\u306b\u56e0\u6570\u5206\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u56e0\u6570\u5206\u89e3\u3059\u308b\u3068\u304d\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5272\u308a\u7b97\u3092\u3059\u308b\u3053\u3068\u3067\u5546\u3092\u5f97\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/djhe3.jpg\" alt=\"\" width=\"450\" height=\"370\" class=\"aligncenter size-full wp-image-11113\" \/><\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u56e0\u6570\u5206\u89e3\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(x^3+4x^2+x-6=\\)\\((x-1)(x^2+5x+6)\\)<\/p>\n<p>\u306a\u304a\u3001\u3053\u306e\u5f0f\u3092\u3055\u3089\u306b\u56e0\u6570\u5206\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\((x-1)(x^2+5x+6)=\\)\\((x-1)(x+2)(x+3)\\)<\/p>\n<p>\u30d2\u30f3\u30c8\u306a\u3057\u3067\u9ad8\u6b21\u5f0f\u306e\u56e0\u6570\u5206\u89e3\u3092\u3059\u308b\u306e\u306f\u96e3\u3057\u3044\u3067\u3059\u3002\u305d\u3053\u3067\u56e0\u6570\u5b9a\u7406\u3092\u5229\u7528\u3057\u3066\u3001\u3069\u306e\u4e00\u6b21\u5f0f\u3092\u5229\u7528\u3057\u3066\u5272\u308a\u7b97\u304c\u53ef\u80fd\u306a\u306e\u304b\u8abf\u3079\u307e\u3057\u3087\u3046\u3002<\/p>\n<h2>\u56e0\u6570\u5206\u89e3\u306b\u3088\u308a\u3001\u9ad8\u6b21\u5f0f\u306e\u5024\u3092\u8a08\u7b97\u3059\u308b<\/h2>\n<p>\u306a\u304a\u3001\u3053\u3053\u307e\u3067\u306e\u77e5\u8b58\u306f\u9ad8\u6b21\u5f0f\u306e\u8a08\u7b97\u306b\u3082\u5f79\u7acb\u3061\u307e\u3059\u3002\u8907\u96d1\u306a\u8a08\u7b97\u3067\u3042\u3063\u3066\u3082\u3001\u56e0\u6570\u5206\u89e3\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3092\u7c21\u5358\u306b\u3067\u304d\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u5b9f\u969b\u306b\u7df4\u7fd2\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002\\(x=1+\\sqrt{2}i\\)\u306e\u3068\u304d\u3001\u4ee5\u4e0b\u306e\u5f0f\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(P(x)=x^4-4x^3+2x^2+8x-9\\)<\/li>\n<\/ul>\n<p>\\(x=1+\\sqrt{2}i\\)\u3092\u4ee3\u5165\u3057\u3066\u8a08\u7b97\u3059\u308b\u5834\u5408\u3001\u8907\u96d1\u306a\u8a08\u7b97\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u5f0f\u306e\u6b21\u6570\u3092\u4e0b\u3052\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3092\u7c21\u7565\u5316\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u6b21\u6570\u3092\u4e0b\u3052\u308b\u305f\u3081\u3001\\(x=1+\\sqrt{2}i\\)\u3092\u5229\u7528\u3057\u3066\u5272\u308b\u6570\u3092\u4f5c\u308a\u307e\u3059\u3002\u65b9\u91dd\u3068\u3057\u3066\u306f\u3001\u6839\u53f7\u3068\u865a\u6570\u5358\u4f4d\\(i\\)\u3092\u6d88\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<p>\\(x=1+\\sqrt{2}i\\)<\/p>\n<p>\\(x-1=\\sqrt{2}i\\)<\/p>\n<p>\\((x-1)^2=2i^2\\)<\/p>\n<p>\\(x^2-2x+1=-2\\)<\/p>\n<p>\\(x^2-2x+3=0\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(x=1+\\sqrt{2}i\\)\u3092\\(x^2-2x+3=0\\)\u3078\u5909\u63db\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u6b21\u306b\u3001\\(P(x)\\)\u306b\u5bfe\u3057\u3066\\(x^2-2x+3\\)\u3067\u5272\u308b\u3068\u304d\u3001\u5546\\(Q(x)\\)\u3068\u4f59\u308a\\(R\\)\u3092\u5229\u7528\u3057\u3066\u8868\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(P(x)=(x^2-2x+3)Q(x)+R\\)<\/li>\n<\/ul>\n<p>\u305d\u3053\u3067\u3001\\(Q(x)\\)\u3068\\(R\\)\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5272\u308a\u7b97\u306b\u3088\u3063\u3066\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/11\/ejfh18.jpg\" alt=\"\" width=\"600\" height=\"314\" class=\"aligncenter size-full wp-image-11169\" 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