Esercizio
$\frac{x^4-3x^2+2x+2}{x-1}$
Soluzione passo-passo
1
Dividere $x^4-3x^2+2x+2$ per $x-1$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-1;}{\phantom{;}x^{3}+x^{2}-2x\phantom{;}\phantom{-;x^n}}\\\phantom{;}x\phantom{;}-1\overline{\smash{)}\phantom{;}x^{4}\phantom{-;x^n}-3x^{2}+2x\phantom{;}+2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-1;}\underline{-x^{4}+x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{4}+x^{3};}\phantom{;}x^{3}-3x^{2}+2x\phantom{;}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n;}\underline{-x^{3}+x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-x^{3}+x^{2}-;x^n;}-2x^{2}+2x\phantom{;}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n-;x^n;}\underline{\phantom{;}2x^{2}-2x\phantom{;}\phantom{-;x^n}}\\\phantom{;;\phantom{;}2x^{2}-2x\phantom{;}-;x^n-;x^n;}\phantom{;}2\phantom{;}\phantom{;}\\\end{array}$
$x^{3}+x^{2}-2x+\frac{2}{x-1}$
Risposta finale al problema
$x^{3}+x^{2}-2x+\frac{2}{x-1}$