Exercice
$\frac{3x^3-14x^2+7x+4}{x-1}$
Solution étape par étape
1
Diviser $3x^3-14x^2+7x+4$ par $x-1$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-1;}{\phantom{;}3x^{2}-11x\phantom{;}-4\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-1\overline{\smash{)}\phantom{;}3x^{3}-14x^{2}+7x\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-1;}\underline{-3x^{3}+3x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{3}+3x^{2};}-11x^{2}+7x\phantom{;}+4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n;}\underline{\phantom{;}11x^{2}-11x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}11x^{2}-11x\phantom{;}-;x^n;}-4x\phantom{;}+4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n-;x^n;}\underline{\phantom{;}4x\phantom{;}-4\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}4x\phantom{;}-4\phantom{;}\phantom{;}-;x^n-;x^n;}\\\end{array}$
Réponse finale au problème
$3x^{2}-11x-4$