Exercice
$\frac{6x^5-2x^4-10x^2-2x-12}{3x^2-x+3}$
Solution étape par étape
1
Diviser $6x^5-2x^4-10x^2-2x-12$ par $3x^2-x+3$
$\begin{array}{l}\phantom{\phantom{;}3x^{2}-x\phantom{;}+3;}{\phantom{;}2x^{3}\phantom{-;x^n}-2x\phantom{;}-4\phantom{;}\phantom{;}}\\\phantom{;}3x^{2}-x\phantom{;}+3\overline{\smash{)}\phantom{;}6x^{5}-2x^{4}\phantom{-;x^n}-10x^{2}-2x\phantom{;}-12\phantom{;}\phantom{;}}\\\phantom{\phantom{;}3x^{2}-x\phantom{;}+3;}\underline{-6x^{5}+2x^{4}-6x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-6x^{5}+2x^{4}-6x^{3};}-6x^{3}-10x^{2}-2x\phantom{;}-12\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x^{2}-x\phantom{;}+3-;x^n;}\underline{\phantom{;}6x^{3}-2x^{2}+6x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}6x^{3}-2x^{2}+6x\phantom{;}-;x^n;}-12x^{2}+4x\phantom{;}-12\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x^{2}-x\phantom{;}+3-;x^n-;x^n;}\underline{\phantom{;}12x^{2}-4x\phantom{;}+12\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}12x^{2}-4x\phantom{;}+12\phantom{;}\phantom{;}-;x^n-;x^n;}\\\end{array}$
Réponse finale au problème
$2x^{3}-2x-4$