Exercice
$\frac{6x^3-3x^2-21x+10}{2x^2+3x-1}$
Solution étape par étape
1
Diviser $6x^3-3x^2-21x+10$ par $2x^2+3x-1$
$\begin{array}{l}\phantom{\phantom{;}2x^{2}+3x\phantom{;}-1;}{\phantom{;}3x\phantom{;}-6\phantom{;}\phantom{;}}\\\phantom{;}2x^{2}+3x\phantom{;}-1\overline{\smash{)}\phantom{;}6x^{3}-3x^{2}-21x\phantom{;}+10\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2x^{2}+3x\phantom{;}-1;}\underline{-6x^{3}-9x^{2}+3x\phantom{;}\phantom{-;x^n}}\\\phantom{-6x^{3}-9x^{2}+3x\phantom{;};}-12x^{2}-18x\phantom{;}+10\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x^{2}+3x\phantom{;}-1-;x^n;}\underline{\phantom{;}12x^{2}+18x\phantom{;}-6\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}12x^{2}+18x\phantom{;}-6\phantom{;}\phantom{;}-;x^n;}\phantom{;}4\phantom{;}\phantom{;}\\\end{array}$
$3x-6+\frac{4}{2x^2+3x-1}$
Réponse finale au problème
$3x-6+\frac{4}{2x^2+3x-1}$