Exercice
$\frac{\left(2x^3+x^2-3x+15\right)}{x+2}$
Solution étape par étape
1
Diviser $2x^3+x^2-3x+15$ par $x+2$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{\phantom{;}2x^{2}-3x\phantom{;}+3\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}\phantom{;}2x^{3}+x^{2}-3x\phantom{;}+15\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{-2x^{3}-4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{3}-4x^{2};}-3x^{2}-3x\phantom{;}+15\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{\phantom{;}3x^{2}+6x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}3x^{2}+6x\phantom{;}-;x^n;}\phantom{;}3x\phantom{;}+15\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n-;x^n;}\underline{-3x\phantom{;}-6\phantom{;}\phantom{;}}\\\phantom{;;-3x\phantom{;}-6\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}9\phantom{;}\phantom{;}\\\end{array}$
$2x^{2}-3x+3+\frac{9}{x+2}$
Réponse finale au problème
$2x^{2}-3x+3+\frac{9}{x+2}$