Question

Polinomul X la a 3 - 2X la a 2 - 2x +1 impartit la x+1

Answer 1

Ti-am rezolvat prin doua metode.

Answer 2

$\begin{array}{ll}\left x^3-2x^2-2x+1\\-x^3-x^2\\ ^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}\\ ~~\slash ~~-3x^2-2x+1 \\ ~~~~~~+3x^2+3x \\^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}^{\_}\\ ~~~~~~~~~~\slash~~~~~~~x+1 \\ ~~~~~~~~~~~~~~~-x-1 \right \end{array} \right \left| \begin{array}{ll} ~~x+1 \\~~x^2-3x+1\\~ \\ ~\\~\\~\\~ \\~\end{array} \right$

$\text{rest}~~~~~~~~~~~~~~~~~~~0 \\ \\ \Rightarrow x^3-2x^2-2x+1 = (x+1)(x^2-3x+1)$