x^3+ax^2+ax+a-1因式分解谢谢了

问题描述:

x^3+ax^2+ax+a-1因式分解谢谢了

x^3+ax^2+ax+a-1
=a(x^2+x+1)+(x^3-1)
=a(x^2+x+1)+(x-1)(x^2+x+1)
=(x+a-1)(x^2+x+1)