Esercizio
$\frac{\left(4x^2-8x+30-x^3\right)}{x-1}$
Soluzione passo-passo
1
Dividere $4x^2-8x+30-x^3$ per $x-1$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-1;}{-x^{2}+3x\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-1\overline{\smash{)}-x^{3}+4x^{2}-8x\phantom{;}+30\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-1;}\underline{\phantom{;}x^{3}-x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{3}-x^{2};}\phantom{;}3x^{2}-8x\phantom{;}+30\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n;}\underline{-3x^{2}+3x\phantom{;}\phantom{-;x^n}}\\\phantom{;-3x^{2}+3x\phantom{;}-;x^n;}-5x\phantom{;}+30\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n-;x^n;}\underline{\phantom{;}5x\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}5x\phantom{;}-5\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}25\phantom{;}\phantom{;}\\\end{array}$
$-x^{2}+3x-5+\frac{25}{x-1}$
Risposta finale al problema
$-x^{2}+3x-5+\frac{25}{x-1}$