Exercice
$\frac{y^{3}+11y^{2}-10y+6}{y+2}$
Solution étape par étape
1
Diviser $y^3+11y^2-10y+6$ par $y+2$
$\begin{array}{l}\phantom{\phantom{;}y\phantom{;}+2;}{\phantom{;}y^{2}+9y\phantom{;}-28\phantom{;}\phantom{;}}\\\phantom{;}y\phantom{;}+2\overline{\smash{)}\phantom{;}y^{3}+11y^{2}-10y\phantom{;}+6\phantom{;}\phantom{;}}\\\phantom{\phantom{;}y\phantom{;}+2;}\underline{-y^{3}-2y^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-y^{3}-2y^{2};}\phantom{;}9y^{2}-10y\phantom{;}+6\phantom{;}\phantom{;}\\\phantom{\phantom{;}y\phantom{;}+2-;x^n;}\underline{-9y^{2}-18y\phantom{;}\phantom{-;x^n}}\\\phantom{;-9y^{2}-18y\phantom{;}-;x^n;}-28y\phantom{;}+6\phantom{;}\phantom{;}\\\phantom{\phantom{;}y\phantom{;}+2-;x^n-;x^n;}\underline{\phantom{;}28y\phantom{;}+56\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}28y\phantom{;}+56\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}62\phantom{;}\phantom{;}\\\end{array}$
$y^{2}+9y-28+\frac{62}{y+2}$
Réponse finale au problème
$y^{2}+9y-28+\frac{62}{y+2}$