x^4-7x^2+6x因式分解?

分类: 作业答案 • 2022-01-02 13:28:46

问题描述：

x^4-7x^2+6x因式分解?

答

X^4-7X^2+6=(X^2-1)(X^2-6)=(X+1)(X-1)(X+√6)(X-√6)

答

x^4-7x^2+6x
=x(x^3-7x+6)
=x(x^3-x^2+(x^2-7x+6))
=x(x-1)(x^2+x-6)
=x(x-1)(x-2)(x+3)

答

x^4-7x^2+6x
=x(x^3-7x+6)
=x[(x^3-1)-7x+7]
=x[(x-1)(x^2+x+1)-7(x-1)]
=x(x-1)(x^2+x+1-7)
=x(x-1)(x^2+x-6)
=x(x-1)(x+3)(x-2)