Factor: $x^3-4x^2-11x-6$ Factor: $$x^3-4x^2-11x-6$$
The answer is $(x-6)(x+1)^2$ but how do I get to it?
I tried many different methods but did not solve it correctly. Pleade help?

It's enough to find three roots, cause $w(a) = 0$ means that exists some polynomial $q(x)$, that $w(x) = (x-a)q(x)$. And your polynomial degree is 3.
You can check $0, 1, -1$ first. It's the easiest to do and in tasks often works. After that you needs something stronger:
Hint: Rational root theorem and not necessarily in this case Horner's method to receive polynomial with degree two.

