Exercice
$\frac{3x^3+2x^2-11x-10}{3x+5}$
Solution étape par étape
1
Diviser $3x^3+2x^2-11x-10$ par $3x+5$
$\begin{array}{l}\phantom{\phantom{;}3x\phantom{;}+5;}{\phantom{;}x^{2}-x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{;}3x\phantom{;}+5\overline{\smash{)}\phantom{;}3x^{3}+2x^{2}-11x\phantom{;}-10\phantom{;}\phantom{;}}\\\phantom{\phantom{;}3x\phantom{;}+5;}\underline{-3x^{3}-5x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{3}-5x^{2};}-3x^{2}-11x\phantom{;}-10\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x\phantom{;}+5-;x^n;}\underline{\phantom{;}3x^{2}+5x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}3x^{2}+5x\phantom{;}-;x^n;}-6x\phantom{;}-10\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x\phantom{;}+5-;x^n-;x^n;}\underline{\phantom{;}6x\phantom{;}+10\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}6x\phantom{;}+10\phantom{;}\phantom{;}-;x^n-;x^n;}\\\end{array}$
Réponse finale au problème
$x^{2}-x-2$