Exercice
$\frac{4x^3-x^2+5x-10}{x+5}$
Solution étape par étape
1
Diviser $4x^3-x^2+5x-10$ par $x+5$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+5;}{\phantom{;}4x^{2}-21x\phantom{;}+110\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+5\overline{\smash{)}\phantom{;}4x^{3}-x^{2}+5x\phantom{;}-10\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+5;}\underline{-4x^{3}-20x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-4x^{3}-20x^{2};}-21x^{2}+5x\phantom{;}-10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n;}\underline{\phantom{;}21x^{2}+105x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}21x^{2}+105x\phantom{;}-;x^n;}\phantom{;}110x\phantom{;}-10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n-;x^n;}\underline{-110x\phantom{;}-550\phantom{;}\phantom{;}}\\\phantom{;;-110x\phantom{;}-550\phantom{;}\phantom{;}-;x^n-;x^n;}-560\phantom{;}\phantom{;}\\\end{array}$
$4x^{2}-21x+110+\frac{-560}{x+5}$
Réponse finale au problème
$4x^{2}-21x+110+\frac{-560}{x+5}$