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