因式分解：x5-2x4-3x3+x2-2x-3

分类: 作业答案 • 2022-07-31 10:29:10

问题描述：

答

原式
=x^3(x^2-2x-3)+(x^2-2x-3)
=(x^3+1)(x^2-2x-3)
=(x+1)(x^2-x+1)(x+1)(x-3)
=(x+1)^2(x^2-2x-3)(x-3)

答

x5-2x4-3x3+x2-2x-3.

=x^3(x^2-2x-3)+(x^2-2x-3)

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

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

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