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