Exercice
$\left(9x^3-5x-5x^4-3+4x^2\right):\left(x-9\right)$
Solution étape par étape
1
Diviser $9x^3-5x-5x^4-3+4x^2$ par $x-9$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-9;}{-5x^{3}-36x^{2}-320x\phantom{;}-2885\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-9\overline{\smash{)}-5x^{4}+9x^{3}+4x^{2}-5x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-9;}\underline{\phantom{;}5x^{4}-45x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}5x^{4}-45x^{3};}-36x^{3}+4x^{2}-5x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-9-;x^n;}\underline{\phantom{;}36x^{3}-324x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}36x^{3}-324x^{2}-;x^n;}-320x^{2}-5x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-9-;x^n-;x^n;}\underline{\phantom{;}320x^{2}-2880x\phantom{;}\phantom{-;x^n}}\\\phantom{;;\phantom{;}320x^{2}-2880x\phantom{;}-;x^n-;x^n;}-2885x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-9-;x^n-;x^n-;x^n;}\underline{\phantom{;}2885x\phantom{;}-25965\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}2885x\phantom{;}-25965\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}-25968\phantom{;}\phantom{;}\\\end{array}$
$-5x^{3}-36x^{2}-320x-2885+\frac{-25968}{x-9}$
Réponse finale au problème
$-5x^{3}-36x^{2}-320x-2885+\frac{-25968}{x-9}$