Exercice
$\frac{11a^3-3a^5-46a^2+32}{8-3a^2-6a}$
Solution étape par étape
1
Diviser $11a^3-3a^5-46a^2+32$ par $8-3a^2-6a$
$\begin{array}{l}\phantom{-3a^{2}-6a\phantom{;}+8;}{\phantom{;}a^{3}-2a^{2}+3a\phantom{;}+4\phantom{;}\phantom{;}}\\-3a^{2}-6a\phantom{;}+8\overline{\smash{)}-3a^{5}\phantom{-;x^n}+11a^{3}-46a^{2}\phantom{-;x^n}+32\phantom{;}\phantom{;}}\\\phantom{-3a^{2}-6a\phantom{;}+8;}\underline{\phantom{;}3a^{5}+6a^{4}-8a^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}3a^{5}+6a^{4}-8a^{3};}\phantom{;}6a^{4}+3a^{3}-46a^{2}\phantom{-;x^n}+32\phantom{;}\phantom{;}\\\phantom{-3a^{2}-6a\phantom{;}+8-;x^n;}\underline{-6a^{4}-12a^{3}+16a^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-6a^{4}-12a^{3}+16a^{2}-;x^n;}-9a^{3}-30a^{2}\phantom{-;x^n}+32\phantom{;}\phantom{;}\\\phantom{-3a^{2}-6a\phantom{;}+8-;x^n-;x^n;}\underline{\phantom{;}9a^{3}+18a^{2}-24a\phantom{;}\phantom{-;x^n}}\\\phantom{;;\phantom{;}9a^{3}+18a^{2}-24a\phantom{;}-;x^n-;x^n;}-12a^{2}-24a\phantom{;}+32\phantom{;}\phantom{;}\\\phantom{-3a^{2}-6a\phantom{;}+8-;x^n-;x^n-;x^n;}\underline{\phantom{;}12a^{2}+24a\phantom{;}-32\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}12a^{2}+24a\phantom{;}-32\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\\\end{array}$
Réponse finale au problème
$a^{3}-2a^{2}+3a+4$