Answer:
Step-by-step explanation:
f(x) = x^3 - 6x^2 + 11x - 6
By the Rational Roots theorem, the roots will be among ±1,2,3,6
So try the low-hanging fruit first. It is clear that f(1) = 0. So, factoring that out, you have
f(x) = (x-1)(x^2-5x+6)
Now factor the quadratic in the usual way.
