Question

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

Answer 1

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.