Exercice
$\frac{2x^3-2x^2+3x+5}{x+1}$
Solution étape par étape
1
Diviser $2x^3-2x^2+3x+5$ par $x+1$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+1;}{\phantom{;}2x^{2}-4x\phantom{;}+7\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+1\overline{\smash{)}\phantom{;}2x^{3}-2x^{2}+3x\phantom{;}+5\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+1;}\underline{-2x^{3}-2x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{3}-2x^{2};}-4x^{2}+3x\phantom{;}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+1-;x^n;}\underline{\phantom{;}4x^{2}+4x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}4x^{2}+4x\phantom{;}-;x^n;}\phantom{;}7x\phantom{;}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+1-;x^n-;x^n;}\underline{-7x\phantom{;}-7\phantom{;}\phantom{;}}\\\phantom{;;-7x\phantom{;}-7\phantom{;}\phantom{;}-;x^n-;x^n;}-2\phantom{;}\phantom{;}\\\end{array}$
$2x^{2}-4x+7+\frac{-2}{x+1}$
Réponse finale au problème
$2x^{2}-4x+7+\frac{-2}{x+1}$