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