{"id":500,"date":"2025-12-24T17:21:22","date_gmt":"2025-12-24T08:21:22","guid":{"rendered":"https:\/\/math-travel.com\/?p=500"},"modified":"2026-02-11T17:29:11","modified_gmt":"2026-02-11T08:29:11","slug":"monomial-polynomials","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-1\/monomial-polynomials\/","title":{"rendered":"\u5358\u9805\u5f0f\u3068\u591a\u9805\u5f0f\u306e\u9055\u3044\u3068\u306f\uff1f\u6b21\u6570\u30fb\u4fc2\u6570\u306e\u6570\u3048\u65b9\u3092\u4f8b\u984c\u3067\u308f\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac"},"content":{"rendered":"\n
\u4eca\u56de\u89e3\u6c7a\u3059\u308b\u60a9\u307f<\/span><\/div>
\n

\u300c\u591a\u9805\u5f0f\u304c\u3088\u304f\u5206\u304b\u3089\u306a\u3044\u300d <\/p>\n\n\n\n

\u300c\u5358\u9805\u5f0f\u3068\u591a\u9805\u5f0f\u306e\u9055\u3044\u3092\u77e5\u308a\u305f\u3044\u300d<\/p>\n<\/div><\/div>\n\n\n\n

\u4eca\u56de\u306f\u6570\u2160\u306e\u300c\u6570\u3068\u5f0f\u300d\u304b\u3089\u3001\u5358\u9805\u5f0f\u3068\u591a\u9805\u5f0f\u306b\u3064\u3044\u3066\u306e\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n

\"\"\u9ad8\u6821\u751f<\/span><\/div>
\n

\u5358\u9805\u5f0f\u3068\u591a\u9805\u5f0f\u306e\u9055\u3044\u304c\u30a4\u30de\u30a4\u30c1\u5206\u304b\u3089\u306a\u304f\u3066\u6559\u3048\u3066\u6b32\u3057\u3044\u3067\u3059\u3002<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

\u3055\u3063\u305d\u304f\u3067\u3059\u304c\u3001\u307e\u305a\u306f\u3053\u3061\u3089\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n

\n

\u30fb\u5358\u9805\u5f0f
\u21d2\\(x,3ab,-2x^{2}yz\\)\u3000\u306a\u3069
\u30fb\u591a\u9805\u5f0f
\u21d2\\(2x+3y,-ab+a-b\\)\u3000\u306a\u3069<\/p>\n<\/div><\/div>\n\n\n\n

\u3069\u308c\u3082\u6570\u5b57\u3068\u6587\u5b57\u304c\u3042\u308a\u3001\u540c\u3058\u3088\u3046\u306a\u5f0f\u306b\u898b\u3048\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002<\/p>\n\n\n\n

\u3057\u304b\u3057\u3001\u6587\u5b57\u3092\u4f7f\u3063\u305f\u5f0f\u306b\u306f\u300c\u5358\u9805\u5f0f\u300d\u3068\u300c\u591a\u9805\u5f0f\u300d\u3068\u3044\u3046\u3082\u306e\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n\n\n\n

\u3053\u3053\u304c\u66d6\u6627\u3060\u3068\u3053\u306e\u5148\u30d4\u30f3\u30c1\u306a\u306e\u3067\u3001\u5fc5\u305a\u305d\u308c\u305e\u308c\u306e\u610f\u5473\u3068\u9055\u3044\u3092\u7406\u89e3\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n\n\n\n

\u672c\u8a18\u4e8b\u3067\u306f\u3001”\u5358\u9805\u5f0f”\u3068”\u591a\u9805\u5f0f”\u306e\u610f\u5473\u3068\u305d\u306e\u9055\u3044\u3092\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n\n\n

\"\"\u30b7\u30fc\u30bf<\/span><\/div>
\n

\u8d85\u57fa\u672c\u306a\u306e\u3067\u5fc5\u305a\u7406\u89e3\u3057\u3066\u304a\u3053\u3046\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

\u5358\u9805\u5f0f\u306b\u3064\u3044\u3066\u77e5\u308d\u3046<\/h2>\n\n\n
\n
\"\u5358\u9805\u5f0f\u306b\u3064\u3044\u3066\u77e5\u308d\u3046\"<\/figure>\n<\/div>\n\n\n

\u307e\u305a\u306f\u5358\u9805\u5f0f\u306b\u3064\u3044\u3066\u78ba\u8a8d\u3057\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

\u3053\u306e\u6a5f\u4f1a\u306b\u3001\u5358\u9805\u5f0f\u306e\u610f\u5473\u3068\u5408\u308f\u305b\u3066\u6b21\u6570\u3068\u4fc2\u6570\u306e\u5fa9\u7fd2\u3082\u5165\u308c\u3066\u304a\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n

\"\"\u30b7\u30fc\u30bf<\/span><\/div>
\n

\u5358\u9805\u5f0f\u3068\u591a\u9805\u5f0f\u306e\u9055\u3044\u3092\u7406\u89e3\u3057\u3066\u304a\u3053\u3046\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

\u5358\u9805\u5f0f\u306e\u610f\u5473<\/h3>\n\n\n\n

\u5358\u9805\u5f0f\u3068\u306f\u3001\u300c\u6570\u3084\u6587\u5b57\u3092\u639b\u3051\u305f\u3060\u3051\u3067\u4f5c\u3089\u308c\u308b\u5f0f\u300d<\/span>\u3092\u6307\u3057\u307e\u3059\u3002<\/p>\n\n\n\n

(5,\u3000x,\u30003a,\u3000-2xy)<\/p>\n\n\n

\n
\"\u5358\u9805\u5f0f\u306e\u4f8b\"
\u300a\u5358\u9805\u5f0f\u306e\u4f8b\u300b<\/figcaption><\/figure>\n<\/div>\n\n\n

\u4e0a\u56f3\u306e\u3088\u3046\u306a\u3001\u6570\u5b57\u3068\u6587\u5b57\u3067\u3067\u304d\u305f\u584a\u304c\u5358\u9805\u5f0f\u3067\u3059\u3002<\/p>\n\n\n\n

\u4fc2\u6570\u3068\u6b21\u6570<\/h3>\n\n\n\n

\u4fc2\u6570\u3068\u6b21\u6570\u306b\u3064\u3044\u3066\u3082\u5fa9\u7fd2\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

\u5358\u9805\u5f0f\u306e\u6570\u5b57\u306e\u90e8\u5206\u3092\u3001\u305d\u306e\u5358\u9805\u5f0f\u306e\u4fc2\u6570<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n

\u307e\u305f\u3001\u639b\u3051\u305f\u6587\u5b57\u306e\u500b\u6570\u306e\u3053\u3068\u3092\u6b21\u6570<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n

\u30e1\u30e2<\/span><\/div>
\n

\\((-4)x^2y\\)\u306e\u5834\u5408\u306f\u3001\u4fc2\u6570\u304c\\(-4\\)\u3067\u6587\u5b57\u306f3\u500b\u639b\u3051\u3089\u308c\u3066\u3044\u308b\u306e\u3067\u6b21\u65703\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/div><\/div>\n\n\n\n

\\(1x\\)\u306f\u5358\u306b\\(x\\)\u3068\u66f8\u3044\u3066\u3001\\((-4)x^2y\\)\u306f\\(-4x^2y\\)\u3068\u66f8\u304d\u307e\u3059\u3002<\/p>\n\n\n\n

\u591a\u9805\u5f0f\u306b\u3064\u3044\u3066\u77e5\u308d\u3046<\/h2>\n\n\n
\n
\"\u591a\u9805\u5f0f\u306b\u3064\u3044\u3066\u77e5\u308d\u3046\"<\/figure>\n<\/div>\n\n\n

\u6b21\u306b\u591a\u9805\u5f0f\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n

\u9805\u304c\u591a\u3044\u304b\u3089”\u591a\u9805\u5f0f”<\/span>\u3068\u8003\u3048\u308b\u306e\u304c\u899a\u3048\u3084\u3059\u304f\u3066\u30aa\u30b9\u30b9\u30e1\u3067\u3059\u3002<\/p>\n\n\n\n

\u591a\u9805\u5f0f\u306e\u610f\u5473<\/h3>\n\n\n\n

\u591a\u9805\u5f0f\u3068\u306f\u3001\u300c\u5358\u9805\u5f0f\u306e\u548c\u3068\u3057\u3066\u8868\u3055\u308c\u308b\u5f0f\u300d<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n

\u3053\u306e\u8aac\u660e\u3060\u3068\u3044\u307e\u3044\u3061\u30d4\u30f3\u3068\u6765\u306a\u3044\u306e\u3067\u3001\u5177\u4f53\u4f8b\u3092\u3044\u304f\u3064\u304b\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

\u4e0b\u306e\u5f0f\u306f\u3069\u308c\u3082\u591a\u9805\u5f0f\u3067\u3059\u3002<\/p>\n\n\n\n

\\(3x+4xy\\)
\\(2x+3y-5xy\\)
\\(-4x^{2}-3x+4\\)<\/p>\n\n\n\n

\u3053\u306e\u3088\u3046\u306a\u3001\u5358\u9805\u5f0f\u30922\u500b\u4ee5\u4e0a\u542b\u3080\u3001\u52a0\u6cd5\uff08\u8db3\u3057\u7b97\uff09\u306e\u5f0f\u3092\u591a\u9805\u5f0f\u3068\u3044\u3044\u307e\u3059\u3002<\/span><\/p>\n\n\n\n

\u3053\u3053\u3067\u3001\u52a0\u6cd5\u306e\u5f0f\u3068\u8a00\u3044\u3064\u3064\u3082\u3001\u30de\u30a4\u30ca\u30b9\u304c\u3042\u308b\u3053\u3068\u306b\u7591\u554f\u3092\u62b1\u3044\u305f\u65b9\u3082\u3044\u307e\u3059\u3088\u306d\u3002<\/p>\n\n\n

\n
\"\u591a\u9805\u5f0f\u306e\u4f8b\"<\/figure>\n<\/div>\n\n\n

\u4e0a\u306e\u5f0f\u306f\\(3x\\)\u3068\\(4xy\\)\u3092\u9805\u306b\u6301\u3061\u3001\u3061\u3083\u3093\u3068\u52a0\u6cd5\u306e\u5f62\u306b\u306a\u3063\u3066\u3044\u308b\u306e\u3067\u591a\u9805\u5f0f\u3067\u7d0d\u5f97\u3067\u304d\u307e\u3059\u306d\u3002<\/p>\n\n\n\n

\u4e00\u65b9\u3067\u3001\u4e0b\u306e\u5f0f\u306f\u6e1b\u6cd5\uff08\u5f15\u304d\u7b97\uff09\u3092\u542b\u3093\u3067\u3044\u3066\u3001\u52a0\u6cd5\u306e\u5f62\u306b\u306a\u3063\u3066\u3044\u306a\u3044\u3067\u3059\u3002<\/p>\n\n\n\n

\u3067\u3059\u304c\u3001\u5b9f\u969b\u306f\u5f0f\u306e\u5f62\u3092\u5c11\u3057\u5909\u3048\u308b\u3068\u3001<\/p>\n\n\n\n

\\[2x+3y+(-5xy)\\]<\/p>\n\n\n\n

\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

\u3064\u307e\u308a\u3001\u4e0b\u306e\u5f0f\u3082\\(2x\\),\\(3y\\),\\((-5xy)\\)\u306e\uff13\u3064\u306e\u9805\u3092\u6301\u3064\u591a\u9805\u5f0f\u3067\u3059\u3002<\/p>\n\n\n\n

\u964d\u3079\u304d\u306e\u9806\u306b\u4e26\u3079\u3088\u3046<\/h3>\n\n\n\n

\u964d\u3079\u304d\u306e\u9806\u3068\u3044\u3046\u8a00\u8449\u3092\u805e\u3044\u305f\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u304b\uff1f<\/p>\n\n\n\n

\u964d\u3079\u304d\u306e\u9806\u306b\u4e26\u3079\u308b\u3068\u306f\u3001\u7279\u5b9a\u306e\u6587\u5b57\u306e\u6b21\u6570\u304c\u4e0b\u304c\u3063\u3066\u3044\u304f\u9806\u306b<\/span>\u591a\u9805\u5f0f\u306e\u9805\u3092<\/span>\u4e26\u3073\u66ff\u3048\u308b<\/span>\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002<\/p>\n\n\n

\"\"\u30b7\u30fc\u30bf<\/span><\/div>
\n

\u4f8b\u3092\u898b\u305b\u3066\u3044\u304f\u3088\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u591a\u9805\u5f0f\u304c\u3042\u3063\u305f\u3068\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

\\[5x-3x^{2}+2x^{3}+4\\]<\/p>\n\n\n\n

\u3053\u306e\u591a\u9805\u5f0f\u3092\\(x\\)\u306b\u3064\u3044\u3066\u306e\u964d\u3079\u304d\u306e\u9806\u306b\u4e26\u3079\u308b\u3068\u3053\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

\\[2x^{3}-3x^{2}+5x+4\\]<\/p>\n\n\n\n

\u3053\u306e\u3088\u3046\u306b\u53f3\u306b\u884c\u304f\u306b\u3064\u308c\u3066\u3001\\(x\\)\u306e\u6b21\u6570\u304c\u4e0b\u304c\u3063\u3066\u3044\u304f\u3088\u3046\u306a\u4e26\u3079\u65b9\u3092\u964d\u3079\u304d\u306e\u9806<\/span>\u3068\u8a00\u3044\u307e\u3059\u3002<\/p>\n\n\n\n

\u9ad8\u6821\u3067\u5b66\u7fd2\u3059\u308b\u95a2\u6570\u306e\u307b\u3068\u3093\u3069\u306f\u964d\u3079\u304d\u306e\u9806\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n

\u307e\u305f\u3001\u6b21\u6570\u304c\u4e0a\u304c\u3063\u3066\u3044\u304f\u9806\u306b\u4e26\u3073\u66ff\u3048\u308b\u3053\u3068\u3092”\u6607\u3079\u304d\u306e\u9806”<\/span>\u3068\u3082\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n

\u4f59\u88d5\u304c\u3042\u308c\u3070\u3053\u3061\u3089\u3082\u899a\u3048\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

\u53c2\u8003<\/span><\/div>
\n

\u30fb\u6607\u3079\u304d\u306e\u9806
\u21d2\u53f3\u306b\u884c\u304f\u306b\u3064\u308c\u3066\u6b21\u6570\u304c\u4e0a\u304c\u3063\u3066\u3044\u304f<\/p>\n\n\n\n

\\[4+5x-3x^{2}+2x^{3}\\]<\/p>\n<\/div><\/div>\n\n\n\n

\u5358\u9805\u5f0f\u3068\u591a\u9805\u5f0f\u306e\u9055\u3044<\/h2>\n\n\n
\n
\"\u5358\u9805\u5f0f\u3068\u591a\u9805\u5f0f\u306e\u9055\u3044\"<\/figure>\n<\/div>\n\n\n

\u305d\u308c\u3067\u306f\u3001\u5358\u9805\u5f0f\u3068\u591a\u9805\u5f0f\u306e\u9055\u3044\u306b\u3064\u3044\u3066\u78ba\u8a8d\u3057\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

\u7d50\u8ad6\u304b\u3089\u8a00\u3046\u3068\u3001\uff11\u3064\u306e\u9805\u3067\u3067\u304d\u305f\u5f0f\u304c\u5358\u9805\u5f0f\u30012\u500b\u4ee5\u4e0a\u306e\u9805\u3067\u3067\u304d\u305f\u5f0f\u304c\u591a\u9805\u5f0f<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n

\u5358\u9805\u5f0f\u3068\u591a\u9805\u5f0f\u306e\u9055\u3044<\/span><\/div>
\n

\u5f0f\u3092\u4f5c\u308b\u9805\u306e\u6570\u3067\u898b\u5206\u3051\u3088\u3046\u3002
\u30fb\u5358\u9805\u5f0f
\u21d2\u9805\u304c\uff11\u3064
\u4f8b\uff1a\\(x,\u30003abc, -4a^{2}b\\)
\u30fb\u591a\u9805\u5f0f
\u21d22\u500b\u4ee5\u4e0a\u306e\u9805
\u4f8b\uff1a\\(a+2,\u3000-3ab+2a-5b\\)<\/p>\n<\/div><\/div>\n\n\n\n

\u3082\u3063\u3068\u7c21\u5358\u306b\u8a00\u3046\u3068\u3001\u5f0f\u304c\u52a0\u6cd5\u3082\u3057\u304f\u306f\u6e1b\u6cd5\u306e\u5f62\u3092\u3057\u3066\u3044\u308c\u3070\u305d\u306e\u5f0f\u306f\u591a\u9805\u5f0f\u3067\u3059<\/span><\/p>\n\n\n

\"\"\u9ad8\u6821\u751f<\/span><\/div>
\n

\u306a\u3093\u3060\uff01\u305d\u308c\u3060\u3051\u306e\u3053\u3068\u306a\u3093\u3067\u3059\u306d\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n

\"\"\u30b7\u30fc\u30bf<\/span><\/div>
\n

\u305d\u3046\u306a\u3093\u3060\u3088\u3002\u9805\u304c\u591a\u3044\u304b\u3089\u591a\u9805\u5f0f\u3068\u3044\u3046\u540d\u524d\u306b\u306a\u3063\u305f\u3060\u3051\u3060\u306d\u3002<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

\u5358\u9805\u5f0f\u3068\u591a\u9805\u5f0f\u300a\u7df4\u7fd2\u554f\u984c\u300b<\/h2>\n\n\n
\n
\"\u5358\u9805\u5f0f\u3068\u591a\u9805\u5f0f\u300a\u7df4\u7fd2\u554f\u984c\u300b\"<\/figure>\n<\/div>\n\n\n

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