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