[tex] \begin{array}{ll}\left x^3-2x^2-2x+1\\-x^3-x^2\\ ^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}\\ ~~\slash ~~-3x^2-2x+1 \\ ~~~~~~+3x^2+3x \\^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}\\ ~~~~~~~~~~\slash~~~~~~~x+1 \\ ~~~~~~~~~~~~~~~-x-1 \right \end{array} \right \left| \begin{array}{ll} ~~x+1 \\~~x^2-3x+1\\~ \\ ~\\~\\~\\~ \\~\end{array} \right [/tex]
[tex] \text{rest}~~~~~~~~~~~~~~~~~~~0 \\ \\ \Rightarrow x^3-2x^2-2x+1 = (x+1)(x^2-3x+1) [/tex]
