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