All the Factors of x cubed minus 6x squared plus 11 minus 6

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.