因式分解 5x^2+6x-8 6x^2-5x-25 x^2-4x+1 x^3-3x^2+2x

题目

因式分解 5x^2+6x-8 6x^2-5x-25 x^2-4x+1 x^3-3x^2+2x

答案

5x^2+6x-8
=(x+2)(5x-4)
6x^2-5x-25
=(2x-5)(3x+5)
x^2-4x+1
=(x^2-4x+4)-3
=(x-2)^2-3
=(x-2-√3)(x-2+√3)
x^3-3x^2+2x
=x(x^2-3x+2)
=x(x-1)(x-2)