Esercizio
$\frac{x^4-5x^3+2x^2-1}{x-5}$
Soluzione passo-passo
1
Dividere $x^4-5x^3+2x^2-1$ per $x-5$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-5;}{\phantom{;}x^{3}\phantom{-;x^n}+2x\phantom{;}+10\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-5\overline{\smash{)}\phantom{;}x^{4}-5x^{3}+2x^{2}\phantom{-;x^n}-1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-5;}\underline{-x^{4}+5x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{4}+5x^{3};}\phantom{;}2x^{2}\phantom{-;x^n}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-5-;x^n;}\underline{-2x^{2}+10x\phantom{;}\phantom{-;x^n}}\\\phantom{;-2x^{2}+10x\phantom{;}-;x^n;}\phantom{;}10x\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-5-;x^n-;x^n;}\underline{-10x\phantom{;}+50\phantom{;}\phantom{;}}\\\phantom{;;-10x\phantom{;}+50\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}49\phantom{;}\phantom{;}\\\end{array}$
$x^{3}+2x+10+\frac{49}{x-5}$
Risposta finale al problema
$x^{3}+2x+10+\frac{49}{x-5}$