Exercice
$\frac{2x^5}{x^2-5}$
Solution étape par étape
1
Diviser $2x^5$ par $x^2-5$
$\begin{array}{l}\phantom{\phantom{;}x^{2}-5;}{\phantom{;}2x^{3}\phantom{-;x^n}+10x\phantom{;}\phantom{-;x^n}}\\\phantom{;}x^{2}-5\overline{\smash{)}\phantom{;}2x^{5}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{2}-5;}\underline{-2x^{5}\phantom{-;x^n}+10x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{5}+10x^{3};}\phantom{;}10x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}x^{2}-5-;x^n;}\underline{-10x^{3}\phantom{-;x^n}+50x\phantom{;}\phantom{-;x^n}}\\\phantom{;-10x^{3}+50x\phantom{;}-;x^n;}\phantom{;}50x\phantom{;}\phantom{-;x^n}\\\end{array}$
$2x^{3}+10x+\frac{50x}{x^2-5}$
Réponse finale au problème
$2x^{3}+10x+\frac{50x}{x^2-5}$