Trouble with factoring polonomial to the 3rd degree I am having trouble factoring this problem:
$\displaystyle{-x^{3} + 6x^{2} - 11x + 6}$
I know the answer but i can't figure out how it is done with this.
I have tried by grouping and is doesn't seem to work. Can someone show me how to do this.

$$\begin{align}
& -x^3+6x^2-11x+6 \\
=& -x^3+1+6x^2-11x+5 \\
=& (1-x^3)+6x^2-6x-5x+5 \\
=& (1-x)(1+x+x^2)-6x(1-x)+5(1-x) \\
=& (1-x)(1+x+x^2-6x+5) \\
=& (1-x)(x^2-5x+6) \\
=& (1-x)(x^2-2x-3x+6) \\
=& (1-x)(x(x-2)-3(x-2)) \\
=& (1-x)(x-2)(x-3)
\end{align}$$
