Esercizio
$\frac{x^3-3x^2-4}{x-1}$
Soluzione passo-passo
1
Dividere $x^3-3x^2-4$ per $x-1$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-1;}{\phantom{;}x^{2}-2x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-1\overline{\smash{)}\phantom{;}x^{3}-3x^{2}\phantom{-;x^n}-4\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-1;}\underline{-x^{3}+x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}+x^{2};}-2x^{2}\phantom{-;x^n}-4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n;}\underline{\phantom{;}2x^{2}-2x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}2x^{2}-2x\phantom{;}-;x^n;}-2x\phantom{;}-4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n-;x^n;}\underline{\phantom{;}2x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}2x\phantom{;}-2\phantom{;}\phantom{;}-;x^n-;x^n;}-6\phantom{;}\phantom{;}\\\end{array}$
$x^{2}-2x-2+\frac{-6}{x-1}$
Risposta finale al problema
$x^{2}-2x-2+\frac{-6}{x-1}$