因式分解x³-6x²+11x--6

因式分解x³-6x²+11x--6
因式分解x³-6x²+11x--6

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)

x³-6x²+11x--6=(x-1)(x-2)(x-3)

f(x)= x³-6x²+11x-6
f(2) = 8-24+22-6 =0
x³-6x²+11x-6 = (x-2)(x^2-4x+3)=(x-2)(x-1)(x-3)