Exercice
$\frac{\left(4x^3-12x^2+17x-6\right)}{2x-1}$
Solution étape par étape
1
Diviser $4x^3-12x^2+17x-6$ par $2x-1$
$\begin{array}{l}\phantom{\phantom{;}2x\phantom{;}-1;}{\phantom{;}2x^{2}-5x\phantom{;}+6\phantom{;}\phantom{;}}\\\phantom{;}2x\phantom{;}-1\overline{\smash{)}\phantom{;}4x^{3}-12x^{2}+17x\phantom{;}-6\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2x\phantom{;}-1;}\underline{-4x^{3}+2x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-4x^{3}+2x^{2};}-10x^{2}+17x\phantom{;}-6\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}-1-;x^n;}\underline{\phantom{;}10x^{2}-5x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}10x^{2}-5x\phantom{;}-;x^n;}\phantom{;}12x\phantom{;}-6\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}-1-;x^n-;x^n;}\underline{-12x\phantom{;}+6\phantom{;}\phantom{;}}\\\phantom{;;-12x\phantom{;}+6\phantom{;}\phantom{;}-;x^n-;x^n;}\\\end{array}$
Réponse finale au problème
$2x^{2}-5x+6$