(x^6-2x^3+1)/(x^2-2x+1)用竖式或代定系数法

题目

(x^6-2x^3+1)/(x^2-2x+1)用竖式或代定系数法
无

答案

(x^6-2x^3+1)/(x^2-2x+1)
=(x^4+2x^3+3x^2+2x+1)(x^2-2x+1)/(x^2-2x+1)
=x^4+2x^3+3x^2+2x+1
=(x²+x+1)²
用竖式除得,不方便用电脑打出