Exercice
$\frac{15x^5-10x+12-6x^4}{5x-2}$
Solution étape par étape
1
Diviser $15x^5-10x+12-6x^4$ par $5x-2$
$\begin{array}{l}\phantom{\phantom{;}5x\phantom{;}-2;}{\phantom{;}3x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}-2\phantom{;}\phantom{;}}\\\phantom{;}5x\phantom{;}-2\overline{\smash{)}\phantom{;}15x^{5}-6x^{4}\phantom{-;x^n}\phantom{-;x^n}-10x\phantom{;}+12\phantom{;}\phantom{;}}\\\phantom{\phantom{;}5x\phantom{;}-2;}\underline{-15x^{5}+6x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-15x^{5}+6x^{4};}-10x\phantom{;}+12\phantom{;}\phantom{;}\\\phantom{\phantom{;}5x\phantom{;}-2-;x^n;}\underline{\phantom{;}10x\phantom{;}-4\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}10x\phantom{;}-4\phantom{;}\phantom{;}-;x^n;}\phantom{;}8\phantom{;}\phantom{;}\\\end{array}$
$3x^{4}-2+\frac{8}{5x-2}$
Réponse finale au problème
$3x^{4}-2+\frac{8}{5x-2}$