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