Exercice
$\frac{3y^5+\:5y^2-12y\:+\:10}{y^2+2}$
Solution étape par étape
1
Diviser $3y^5+5y^2-12y+10$ par $y^2+2$
$\begin{array}{l}\phantom{\phantom{;}y^{2}+2;}{\phantom{;}3y^{3}\phantom{-;x^n}-6y\phantom{;}+5\phantom{;}\phantom{;}}\\\phantom{;}y^{2}+2\overline{\smash{)}\phantom{;}3y^{5}\phantom{-;x^n}\phantom{-;x^n}+5y^{2}-12y\phantom{;}+10\phantom{;}\phantom{;}}\\\phantom{\phantom{;}y^{2}+2;}\underline{-3y^{5}\phantom{-;x^n}-6y^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3y^{5}-6y^{3};}-6y^{3}+5y^{2}-12y\phantom{;}+10\phantom{;}\phantom{;}\\\phantom{\phantom{;}y^{2}+2-;x^n;}\underline{\phantom{;}6y^{3}\phantom{-;x^n}+12y\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}6y^{3}+12y\phantom{;}-;x^n;}\phantom{;}5y^{2}\phantom{-;x^n}+10\phantom{;}\phantom{;}\\\phantom{\phantom{;}y^{2}+2-;x^n-;x^n;}\underline{-5y^{2}\phantom{-;x^n}-10\phantom{;}\phantom{;}}\\\phantom{;;-5y^{2}-10\phantom{;}\phantom{;}-;x^n-;x^n;}\\\end{array}$
Réponse finale au problème
$3y^{3}-6y+5$