Esercizio
$\frac{x^3+x^2-x+7}{x^2+1}$
Soluzione passo-passo
1
Dividere $x^3+x^2-x+7$ per $x^2+1$
$\begin{array}{l}\phantom{\phantom{;}x^{2}+1;}{\phantom{;}x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{;}x^{2}+1\overline{\smash{)}\phantom{;}x^{3}+x^{2}-x\phantom{;}+7\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}+1;}\underline{-x^{3}\phantom{-;x^n}-x\phantom{;}\phantom{-;x^n}}\\\phantom{-x^{3}-x\phantom{;};}\phantom{;}x^{2}-2x\phantom{;}+7\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}+1-;x^n;}\underline{-x^{2}\phantom{-;x^n}-1\phantom{;}\phantom{;}}\\\phantom{;-x^{2}-1\phantom{;}\phantom{;}-;x^n;}-2x\phantom{;}+6\phantom{;}\phantom{;}\\\end{array}$
$x+1+\frac{-2x+6}{x^2+1}$
Risposta finale al problema
$x+1+\frac{-2x+6}{x^2+1}$