Esercizio
$\left(6x^3-11x^2+15x-12\right)entre\left(2x-3\right)$
Soluzione passo-passo
1
Dividere $6x^3-11x^2+15x-12$ per $2x-3$
$\begin{array}{l}\phantom{\phantom{;}2x\phantom{;}-3;}{\phantom{;}3x^{2}-x\phantom{;}+6\phantom{;}\phantom{;}}\\\phantom{;}2x\phantom{;}-3\overline{\smash{)}\phantom{;}6x^{3}-11x^{2}+15x\phantom{;}-12\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2x\phantom{;}-3;}\underline{-6x^{3}+9x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-6x^{3}+9x^{2};}-2x^{2}+15x\phantom{;}-12\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}-3-;x^n;}\underline{\phantom{;}2x^{2}-3x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}2x^{2}-3x\phantom{;}-;x^n;}\phantom{;}12x\phantom{;}-12\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}-3-;x^n-;x^n;}\underline{-12x\phantom{;}+18\phantom{;}\phantom{;}}\\\phantom{;;-12x\phantom{;}+18\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}6\phantom{;}\phantom{;}\\\end{array}$
$3x^{2}-x+6+\frac{6}{2x-3}$
Risposta finale al problema
$3x^{2}-x+6+\frac{6}{2x-3}$