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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク factor theorem ： ウィキペディア英語版 factor theorem In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem.〔.〕 The factor theorem states that a polynomial $f(x)$ has a factor $(x\; -\; k)$ if and only if $f(k)=0$ (i.e. $k$ is a root).〔.〕 ==Factorization of polynomials== (詳細はa of the polynomial $f$. (In general, this can be ''very hard'', but maths textbook problems that involve solving a polynomial equation are often designed so that some roots are easy to discover.) # Use the factor theorem to conclude that $(x-a)$ is a factor of $f(x)$. # Compute the polynomial $g(x)\; =\; f(x)\; \backslash big/\; (x-a)$, for example using polynomial long division or synthetic division. # Conclude that any root $x\; \backslash neq\; a$ of $f(x)=0$ is a root of $g(x)=0$. Since the polynomial degree of $g$ is one less than that of $f$, it is "simpler" to find the remaining zeros by studying $g$. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「factor theorem」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.