Exercice
$\frac{2x^3-11x^2+2x-12}{-3+2x}$
Solution étape par étape
1
Diviser $2x^3-11x^2+2x-12$ par $-3+2x$
$\begin{array}{l}\phantom{\phantom{;}2x\phantom{;}-3;}{\phantom{;}x^{2}-4x\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{;}2x\phantom{;}-3\overline{\smash{)}\phantom{;}2x^{3}-11x^{2}+2x\phantom{;}-12\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2x\phantom{;}-3;}\underline{-2x^{3}+3x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{3}+3x^{2};}-8x^{2}+2x\phantom{;}-12\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}-3-;x^n;}\underline{\phantom{;}8x^{2}-12x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}8x^{2}-12x\phantom{;}-;x^n;}-10x\phantom{;}-12\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}-3-;x^n-;x^n;}\underline{\phantom{;}10x\phantom{;}-15\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}10x\phantom{;}-15\phantom{;}\phantom{;}-;x^n-;x^n;}-27\phantom{;}\phantom{;}\\\end{array}$
$x^{2}-4x-5+\frac{-27}{-3+2x}$
Réponse finale au problème
$x^{2}-4x-5+\frac{-27}{-3+2x}$