Exercice
$\frac{x^3+8x-32}{x+5}$
Solution étape par étape
1
Diviser $x^3+8x-32$ par $x+5$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+5;}{\phantom{;}x^{2}-5x\phantom{;}+33\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+5\overline{\smash{)}\phantom{;}x^{3}\phantom{-;x^n}+8x\phantom{;}-32\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+5;}\underline{-x^{3}-5x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-5x^{2};}-5x^{2}+8x\phantom{;}-32\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n;}\underline{\phantom{;}5x^{2}+25x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}5x^{2}+25x\phantom{;}-;x^n;}\phantom{;}33x\phantom{;}-32\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n-;x^n;}\underline{-33x\phantom{;}-165\phantom{;}\phantom{;}}\\\phantom{;;-33x\phantom{;}-165\phantom{;}\phantom{;}-;x^n-;x^n;}-197\phantom{;}\phantom{;}\\\end{array}$
$x^{2}-5x+33+\frac{-197}{x+5}$
Réponse finale au problème
$x^{2}-5x+33+\frac{-197}{x+5}$