分解因式:x4+2x3-9x2-2x+8=_.

问题描述:

分解因式:x4+2x3-9x2-2x+8=______.

原式=x4+2x3-x2-8x2-2x+8,
=x2(x2+2x-8)-(x2+2x-8),
=(x2+2x-8)(x2-1),
=(x+4)(x-2)(x+1)(x-1).
故答案为:(x+4)(x-2)(x+1)(x-1).