Exercice
$\frac{3a^3-7a^2+8a-2}{3a-1}$
Solution étape par étape
1
Diviser $3a^3-7a^2+8a-2$ par $3a-1$
$\begin{array}{l}\phantom{\phantom{;}3a\phantom{;}-1;}{\phantom{;}a^{2}-2a\phantom{;}+2\phantom{;}\phantom{;}}\\\phantom{;}3a\phantom{;}-1\overline{\smash{)}\phantom{;}3a^{3}-7a^{2}+8a\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}3a\phantom{;}-1;}\underline{-3a^{3}+a^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3a^{3}+a^{2};}-6a^{2}+8a\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}3a\phantom{;}-1-;x^n;}\underline{\phantom{;}6a^{2}-2a\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}6a^{2}-2a\phantom{;}-;x^n;}\phantom{;}6a\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}3a\phantom{;}-1-;x^n-;x^n;}\underline{-6a\phantom{;}+2\phantom{;}\phantom{;}}\\\phantom{;;-6a\phantom{;}+2\phantom{;}\phantom{;}-;x^n-;x^n;}\\\end{array}$
Réponse finale au problème
$a^{2}-2a+2$