x^4-6x^3+x^2+7因式分解
问题描述：
x^4-6x^3+x^2+7因式分解
答
x^4-6x^3+x^2+7
=x^4-7x^3+7x^2+x^3-7x^2+7x+x^2-7x+7
=x^2(x^2-7x+7)+x(x^2-7x+7)+(x^2-7x+7)
=(x^2-7x+7)(x^2+x+1)
还需要继续进行吗?恩=(x^2-7x+7)(x^2+x+1)=[x^2-7x+(7/2)^2-49/4+7][x^2+x+(1/2)-1/4+1]=[(x-7/2)^2-21/4][(x+1/2)^2+3/4]=(x-7/2+√21/2)(x-7/2-√21/2)(x+1/2+√3i/2)(x+1/2-√3i/2)等下给好评