Exercice
$\frac{6r^3+7r^2-4r+2}{3r+2}$
Solution étape par étape
1
Diviser $6r^3+7r^2-4r+2$ par $3r+2$
$\begin{array}{l}\phantom{\phantom{;}3r\phantom{;}+2;}{\phantom{;}2r^{2}+r\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{;}3r\phantom{;}+2\overline{\smash{)}\phantom{;}6r^{3}+7r^{2}-4r\phantom{;}+2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}3r\phantom{;}+2;}\underline{-6r^{3}-4r^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-6r^{3}-4r^{2};}\phantom{;}3r^{2}-4r\phantom{;}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}3r\phantom{;}+2-;x^n;}\underline{-3r^{2}-2r\phantom{;}\phantom{-;x^n}}\\\phantom{;-3r^{2}-2r\phantom{;}-;x^n;}-6r\phantom{;}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}3r\phantom{;}+2-;x^n-;x^n;}\underline{\phantom{;}6r\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}6r\phantom{;}+4\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}6\phantom{;}\phantom{;}\\\end{array}$
$2r^{2}+r-2+\frac{6}{3r+2}$
Réponse finale au problème
$2r^{2}+r-2+\frac{6}{3r+2}$