因式分解x^3-4x^2-11x+30

分类: 作业答案 • 2022-06-23 11:03:35

问题描述：

因式分解x^3-4x^2-11x+30

答

=(x-1)(x^2(x 4)-11x-30) =(x-1)(x^3 4x^2-11x-30) (x-1)(x 2)(x-3)(x 5)

答

x^3-4x^2-11x+30
=x^3-2x^2-2x^2-11x+30
=x^2(x-2)-(2x+15)(x-2)
=(x^2-2x-15)(x-2)
=(x+3)(x-5)(x-2)