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