因式分解x³-6x²+11x--6

问题描述:

因式分解x³-6x²+11x--6

x³-6x²+11x--6
=x^3-6x^2+5x+6x-6
=x(x-5)(x-1)+6(x-1)
=(x-1)(x^2-5x+6)
=(x-1)(x-2)(x-3)