Can you please show me how to factor this out x^3 - 6x^2 + 11x - 6?
I would like to see how its done, step-by-step if possible.
There are many approaches to solving polynomials of a high degree. Synthetic division is probably the best one. Lets call the leading coefficient of an n degree polynomial Q and lets call the last term of the same polynomial P. Now, calculate all the values of P/Q and use synthetic division, with those values (only those values could possibly work). Have you heard of Descarte's Rule of Signs? It gives you some direction as to where the roots might be.
Descartes' Rule of Signs