Exercice
$\frac{-6x^3+x^2}{x^2+x-1}$
Solution étape par étape
1
Diviser $-6x^3+x^2$ par $x^2+x-1$
$\begin{array}{l}\phantom{\phantom{;}x^{2}+x\phantom{;}-1;}{-6x\phantom{;}+7\phantom{;}\phantom{;}}\\\phantom{;}x^{2}+x\phantom{;}-1\overline{\smash{)}-6x^{3}+x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{2}+x\phantom{;}-1;}\underline{\phantom{;}6x^{3}+6x^{2}-6x\phantom{;}\phantom{-;x^n}}\\\phantom{\phantom{;}6x^{3}+6x^{2}-6x\phantom{;};}\phantom{;}7x^{2}-6x\phantom{;}\phantom{-;x^n}\\\phantom{\phantom{;}x^{2}+x\phantom{;}-1-;x^n;}\underline{-7x^{2}-7x\phantom{;}+7\phantom{;}\phantom{;}}\\\phantom{;-7x^{2}-7x\phantom{;}+7\phantom{;}\phantom{;}-;x^n;}-13x\phantom{;}+7\phantom{;}\phantom{;}\\\end{array}$
$-6x+7+\frac{-13x+7}{x^2+x-1}$
Réponse finale au problème
$-6x+7+\frac{-13x+7}{x^2+x-1}$