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