Exercice
$\frac{3x^5+5x^2-12x+10}{x^2+2}$
Solution étape par étape
1
Diviser $3x^5+5x^2-12x+10$ par $x^2+2$
$\begin{array}{l}\phantom{\phantom{;}x^{2}+2;}{\phantom{;}3x^{3}\phantom{-;x^n}-6x\phantom{;}+5\phantom{;}\phantom{;}}\\\phantom{;}x^{2}+2\overline{\smash{)}\phantom{;}3x^{5}\phantom{-;x^n}\phantom{-;x^n}+5x^{2}-12x\phantom{;}+10\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}+2;}\underline{-3x^{5}\phantom{-;x^n}-6x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{5}-6x^{3};}-6x^{3}+5x^{2}-12x\phantom{;}+10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}+2-;x^n;}\underline{\phantom{;}6x^{3}\phantom{-;x^n}+12x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}6x^{3}+12x\phantom{;}-;x^n;}\phantom{;}5x^{2}\phantom{-;x^n}+10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}+2-;x^n-;x^n;}\underline{-5x^{2}\phantom{-;x^n}-10\phantom{;}\phantom{;}}\\\phantom{;;-5x^{2}-10\phantom{;}\phantom{;}-;x^n-;x^n;}\\\end{array}$
Réponse finale au problème
$3x^{3}-6x+5$