Exercice
$\left(-8x^2-5+x^4\:\right):\left(x+3\right)$
Solution étape par étape
1
Diviser $-8x^2-5+x^4$ par $x+3$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+3;}{\phantom{;}x^{3}-3x^{2}+x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+3\overline{\smash{)}\phantom{;}x^{4}\phantom{-;x^n}-8x^{2}\phantom{-;x^n}-5\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+3;}\underline{-x^{4}-3x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{4}-3x^{3};}-3x^{3}-8x^{2}\phantom{-;x^n}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n;}\underline{\phantom{;}3x^{3}+9x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}3x^{3}+9x^{2}-;x^n;}\phantom{;}x^{2}\phantom{-;x^n}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n-;x^n;}\underline{-x^{2}-3x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-x^{2}-3x\phantom{;}-;x^n-;x^n;}-3x\phantom{;}-5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n-;x^n-;x^n;}\underline{\phantom{;}3x\phantom{;}+9\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}3x\phantom{;}+9\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}4\phantom{;}\phantom{;}\\\end{array}$
$x^{3}-3x^{2}+x-3+\frac{4}{x+3}$
Réponse finale au problème
$x^{3}-3x^{2}+x-3+\frac{4}{x+3}$