Exercice
$\frac{4x^3+19x^2+19x-6}{x+2}$
Solution étape par étape
1
Diviser $4x^3+19x^2+19x-6$ par $x+2$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{\phantom{;}4x^{2}+11x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}\phantom{;}4x^{3}+19x^{2}+19x\phantom{;}-6\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{-4x^{3}-8x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-4x^{3}-8x^{2};}\phantom{;}11x^{2}+19x\phantom{;}-6\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{-11x^{2}-22x\phantom{;}\phantom{-;x^n}}\\\phantom{;-11x^{2}-22x\phantom{;}-;x^n;}-3x\phantom{;}-6\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n-;x^n;}\underline{\phantom{;}3x\phantom{;}+6\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}3x\phantom{;}+6\phantom{;}\phantom{;}-;x^n-;x^n;}\\\end{array}$
Réponse finale au problème
$4x^{2}+11x-3$