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