在实数范围内因式分解:x4+x3-3x2-4x-4=______.
人气:229 ℃ 时间:2019-08-20 13:35:46
解答
x4+x3-3x2-4x-4
=x4+x3+x2-4x2-4x-4
=x2(x2+x+1)-4(x2+x+1)
=(x2-4)(x2+x+1)
=(x+2)(x-2)(x2+x+1).
故答案为:(x+2)(x-2)(x2+x+1).
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