Esercizio
$\frac{x^4-5x^3+3x-7}{x-5}$
Soluzione passo-passo
1
Dividere $x^4-5x^3+3x-7$ per $x-5$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-5;}{\phantom{;}x^{3}\phantom{-;x^n}\phantom{-;x^n}+3\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-5\overline{\smash{)}\phantom{;}x^{4}-5x^{3}\phantom{-;x^n}+3x\phantom{;}-7\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-5;}\underline{-x^{4}+5x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{4}+5x^{3};}\phantom{;}3x\phantom{;}-7\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-5-;x^n;}\underline{-3x\phantom{;}+15\phantom{;}\phantom{;}}\\\phantom{;-3x\phantom{;}+15\phantom{;}\phantom{;}-;x^n;}\phantom{;}8\phantom{;}\phantom{;}\\\end{array}$
$x^{3}+3+\frac{8}{x-5}$
Risposta finale al problema
$x^{3}+3+\frac{8}{x-5}$