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