Esercizio
$\frac{15x^3+18x^2-16x-4}{3x^2-2}$
Soluzione passo-passo
1
Dividere $15x^3+18x^2-16x-4$ per $3x^2-2$
$\begin{array}{l}\phantom{\phantom{;}3x^{2}-2;}{\phantom{;}5x\phantom{;}+6\phantom{;}\phantom{;}}\\\phantom{;}3x^{2}-2\overline{\smash{)}\phantom{;}15x^{3}+18x^{2}-16x\phantom{;}-4\phantom{;}\phantom{;}}\\\phantom{\phantom{;}3x^{2}-2;}\underline{-15x^{3}\phantom{-;x^n}+10x\phantom{;}\phantom{-;x^n}}\\\phantom{-15x^{3}+10x\phantom{;};}\phantom{;}18x^{2}-6x\phantom{;}-4\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x^{2}-2-;x^n;}\underline{-18x^{2}\phantom{-;x^n}+12\phantom{;}\phantom{;}}\\\phantom{;-18x^{2}+12\phantom{;}\phantom{;}-;x^n;}-6x\phantom{;}+8\phantom{;}\phantom{;}\\\end{array}$
$5x+6+\frac{-6x+8}{3x^2-2}$
Risposta finale al problema
$5x+6+\frac{-6x+8}{3x^2-2}$