因式分解:x5+2x4-3x3-6x2+2x+4
问题描述:
因式分解:x5+2x4-3x3-6x2+2x+4
答
x5+2x4-3x3-6x2+2x+4
=x^3(x^2+2x-3)-2(3x^2-x-2)
=x^3(x+3)(x-1)-(3x+2)(x-1)
=(x^4+3x^3-3x-2)(x-1)