Exercice
$\frac{2x^3+29x^2-115x+88}{x+1}$
Solution étape par étape
1
Diviser $2x^3+29x^2-115x+88$ par $x+1$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+1;}{\phantom{;}2x^{2}+27x\phantom{;}-142\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+1\overline{\smash{)}\phantom{;}2x^{3}+29x^{2}-115x\phantom{;}+88\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+1;}\underline{-2x^{3}-2x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{3}-2x^{2};}\phantom{;}27x^{2}-115x\phantom{;}+88\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+1-;x^n;}\underline{-27x^{2}-27x\phantom{;}\phantom{-;x^n}}\\\phantom{;-27x^{2}-27x\phantom{;}-;x^n;}-142x\phantom{;}+88\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+1-;x^n-;x^n;}\underline{\phantom{;}142x\phantom{;}+142\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}142x\phantom{;}+142\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}230\phantom{;}\phantom{;}\\\end{array}$
$2x^{2}+27x-142+\frac{230}{x+1}$
Réponse finale au problème
$2x^{2}+27x-142+\frac{230}{x+1}$