Exercice
$\frac{9x^3-12x^2+8x-6}{x+1}$
Solution étape par étape
1
Diviser $9x^3-12x^2+8x-6$ par $x+1$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+1;}{\phantom{;}9x^{2}-21x\phantom{;}+29\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+1\overline{\smash{)}\phantom{;}9x^{3}-12x^{2}+8x\phantom{;}-6\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+1;}\underline{-9x^{3}-9x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-9x^{3}-9x^{2};}-21x^{2}+8x\phantom{;}-6\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+1-;x^n;}\underline{\phantom{;}21x^{2}+21x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}21x^{2}+21x\phantom{;}-;x^n;}\phantom{;}29x\phantom{;}-6\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+1-;x^n-;x^n;}\underline{-29x\phantom{;}-29\phantom{;}\phantom{;}}\\\phantom{;;-29x\phantom{;}-29\phantom{;}\phantom{;}-;x^n-;x^n;}-35\phantom{;}\phantom{;}\\\end{array}$
$9x^{2}-21x+29+\frac{-35}{x+1}$
Réponse finale au problème
$9x^{2}-21x+29+\frac{-35}{x+1}$