設多項式 f(x)=x4＋2x3－9x2－11x＋24﹐把 f (x)除以 x2＋2x－2﹐得f (x)=(x2＋2x－2)Q(x)＋R(x)﹐其中 Q(x)是商﹐R(x)是餘式，下列何者正確？

問題詳情

2. 設多項式 f(x)=x4＋2x3－9x2－11x＋24﹐把 f (x)除以 x2＋2x－2﹐得f (x)=(x2＋2x－2)Q(x)＋R(x)﹐其中 Q(x)是商﹐R(x)是餘式，下列何者正確？
(A)√3 －1 是二次方程式 x2＋2x－2=0 的根
(B) Q(x) = x2－7
(C) R(x) = 3x＋10
(D) 計算 f √3(－1)的值，得f (√3－1) =√3＋1
(E) 計算 f (√7)的值，得f (√7) =3√7＋10

參考答案

答案：[無官方正解]
難度：適中0.5
統計：A(0),B(0),C(0),D(0),E(0)

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