Exercice
$\frac{\left(x^3+2x-15\right)}{\left(x-2\right)}$
Solution étape par étape
1
Diviser $x^3+2x-15$ par $x-2$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-2;}{\phantom{;}x^{2}+2x\phantom{;}+6\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-2\overline{\smash{)}\phantom{;}x^{3}\phantom{-;x^n}+2x\phantom{;}-15\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-2;}\underline{-x^{3}+2x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}+2x^{2};}\phantom{;}2x^{2}+2x\phantom{;}-15\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n;}\underline{-2x^{2}+4x\phantom{;}\phantom{-;x^n}}\\\phantom{;-2x^{2}+4x\phantom{;}-;x^n;}\phantom{;}6x\phantom{;}-15\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n;}\underline{-6x\phantom{;}+12\phantom{;}\phantom{;}}\\\phantom{;;-6x\phantom{;}+12\phantom{;}\phantom{;}-;x^n-;x^n;}-3\phantom{;}\phantom{;}\\\end{array}$
$x^{2}+2x+6+\frac{-3}{x-2}$
Réponse finale au problème
$x^{2}+2x+6+\frac{-3}{x-2}$