How to factor : x^3 - 4x^2 - 11x + 30? Step by step = 10 points

Using the Rational Root Theorem, possible rational roots include ± {1, 2, 3, 5, 6, 10, 15, 30}.

Using Synthetic Division, I find that x = 2 is a zero, so (x - 2) is a factor.

The remainder after division is x^2 - 2x - 15, which gives factors of (x - 5) and (x + 3).

So the factorization is (x - 2)(x - 5)(x + 3).