Exercice
$\frac{\left(2x^3-x^2-12\right)}{x+3}$
Solution étape par étape
1
Diviser $2x^3-x^2-12$ par $x+3$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+3;}{\phantom{;}2x^{2}-7x\phantom{;}+21\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+3\overline{\smash{)}\phantom{;}2x^{3}-x^{2}\phantom{-;x^n}-12\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+3;}\underline{-2x^{3}-6x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{3}-6x^{2};}-7x^{2}\phantom{-;x^n}-12\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n;}\underline{\phantom{;}7x^{2}+21x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}7x^{2}+21x\phantom{;}-;x^n;}\phantom{;}21x\phantom{;}-12\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n-;x^n;}\underline{-21x\phantom{;}-63\phantom{;}\phantom{;}}\\\phantom{;;-21x\phantom{;}-63\phantom{;}\phantom{;}-;x^n-;x^n;}-75\phantom{;}\phantom{;}\\\end{array}$
$2x^{2}-7x+21+\frac{-75}{x+3}$
Réponse finale au problème
$2x^{2}-7x+21+\frac{-75}{x+3}$