Exercice
$\frac{3x^4-2x^2-x+3}{x^2+2}$
Solution étape par étape
1
Diviser $3x^4-2x^2-x+3$ par $x^2+2$
$\begin{array}{l}\phantom{\phantom{;}x^{2}+2;}{\phantom{;}3x^{2}\phantom{-;x^n}-8\phantom{;}\phantom{;}}\\\phantom{;}x^{2}+2\overline{\smash{)}\phantom{;}3x^{4}\phantom{-;x^n}-2x^{2}-x\phantom{;}+3\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}+2;}\underline{-3x^{4}\phantom{-;x^n}-6x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{4}-6x^{2};}-8x^{2}-x\phantom{;}+3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}+2-;x^n;}\underline{\phantom{;}8x^{2}\phantom{-;x^n}+16\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}8x^{2}+16\phantom{;}\phantom{;}-;x^n;}-x\phantom{;}+19\phantom{;}\phantom{;}\\\end{array}$
$3x^{2}-8+\frac{-x+19}{x^2+2}$
Réponse finale au problème
$3x^{2}-8+\frac{-x+19}{x^2+2}$