Esercizio
$\frac{4x^3-16x^2+3x+18}{2x-3}$
Soluzione passo-passo
1
Dividere $4x^3-16x^2+3x+18$ per $2x-3$
$\begin{array}{l}\phantom{\phantom{;}2x\phantom{;}-3;}{\phantom{;}2x^{2}-5x\phantom{;}-6\phantom{;}\phantom{;}}\\\phantom{;}2x\phantom{;}-3\overline{\smash{)}\phantom{;}4x^{3}-16x^{2}+3x\phantom{;}+18\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2x\phantom{;}-3;}\underline{-4x^{3}+6x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-4x^{3}+6x^{2};}-10x^{2}+3x\phantom{;}+18\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}-3-;x^n;}\underline{\phantom{;}10x^{2}-15x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}10x^{2}-15x\phantom{;}-;x^n;}-12x\phantom{;}+18\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}-3-;x^n-;x^n;}\underline{\phantom{;}12x\phantom{;}-18\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}12x\phantom{;}-18\phantom{;}\phantom{;}-;x^n-;x^n;}\\\end{array}$
Risposta finale al problema
$2x^{2}-5x-6$