Exercice
$\left(\frac{2x^3-7x^2-36x+1}{x+3}\right)$
Solution étape par étape
1
Diviser $2x^3-7x^2-36x+1$ par $x+3$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+3;}{\phantom{;}2x^{2}-13x\phantom{;}+3\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+3\overline{\smash{)}\phantom{;}2x^{3}-7x^{2}-36x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+3;}\underline{-2x^{3}-6x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{3}-6x^{2};}-13x^{2}-36x\phantom{;}+1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n;}\underline{\phantom{;}13x^{2}+39x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}13x^{2}+39x\phantom{;}-;x^n;}\phantom{;}3x\phantom{;}+1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n-;x^n;}\underline{-3x\phantom{;}-9\phantom{;}\phantom{;}}\\\phantom{;;-3x\phantom{;}-9\phantom{;}\phantom{;}-;x^n-;x^n;}-8\phantom{;}\phantom{;}\\\end{array}$
$2x^{2}-13x+3+\frac{-8}{x+3}$
Réponse finale au problème
$2x^{2}-13x+3+\frac{-8}{x+3}$