Exercice
$\frac{m^5+m^4+2+3m^3+2m^2}{3+m^2+m}$
Solution étape par étape
1
Diviser $m^5+m^4+2+3m^3+2m^2$ par $3+m^2+m$
$\begin{array}{l}\phantom{\phantom{;}m^{2}+m\phantom{;}+3;}{\phantom{;}m^{3}\phantom{-;x^n}\phantom{-;x^n}+2\phantom{;}\phantom{;}}\\\phantom{;}m^{2}+m\phantom{;}+3\overline{\smash{)}\phantom{;}m^{5}+m^{4}+3m^{3}+2m^{2}\phantom{-;x^n}+2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}m^{2}+m\phantom{;}+3;}\underline{-m^{5}-m^{4}-3m^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-m^{5}-m^{4}-3m^{3};}\phantom{;}2m^{2}\phantom{-;x^n}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}m^{2}+m\phantom{;}+3-;x^n;}\underline{-2m^{2}-2m\phantom{;}-6\phantom{;}\phantom{;}}\\\phantom{;-2m^{2}-2m\phantom{;}-6\phantom{;}\phantom{;}-;x^n;}-2m\phantom{;}-4\phantom{;}\phantom{;}\\\end{array}$
$m^{3}+2+\frac{-2m-4}{3+m^2+m}$
Réponse finale au problème
$m^{3}+2+\frac{-2m-4}{3+m^2+m}$