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