Exercice
$\frac{-3x^5-4x^2+6x-2}{x^2+2}$
Solution étape par étape
1
Diviser $-3x^5-4x^2+6x-2$ par $x^2+2$
$\begin{array}{l}\phantom{\phantom{;}x^{2}+2;}{-3x^{3}\phantom{-;x^n}+6x\phantom{;}-4\phantom{;}\phantom{;}}\\\phantom{;}x^{2}+2\overline{\smash{)}-3x^{5}\phantom{-;x^n}\phantom{-;x^n}-4x^{2}+6x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}+2;}\underline{\phantom{;}3x^{5}\phantom{-;x^n}+6x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}3x^{5}+6x^{3};}\phantom{;}6x^{3}-4x^{2}+6x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}+2-;x^n;}\underline{-6x^{3}\phantom{-;x^n}-12x\phantom{;}\phantom{-;x^n}}\\\phantom{;-6x^{3}-12x\phantom{;}-;x^n;}-4x^{2}-6x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}+2-;x^n-;x^n;}\underline{\phantom{;}4x^{2}\phantom{-;x^n}+8\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}4x^{2}+8\phantom{;}\phantom{;}-;x^n-;x^n;}-6x\phantom{;}+6\phantom{;}\phantom{;}\\\end{array}$
$-3x^{3}+6x-4+\frac{-6x+6}{x^2+2}$
Réponse finale au problème
$-3x^{3}+6x-4+\frac{-6x+6}{x^2+2}$