Esercizio
$\frac{a^3+5a^2+a-1}{a+5}$
Soluzione passo-passo
1
Dividere $a^3+5a^2+a-1$ per $a+5$
$\begin{array}{l}\phantom{\phantom{;}a\phantom{;}+5;}{\phantom{;}a^{2}\phantom{-;x^n}+1\phantom{;}\phantom{;}}\\\phantom{;}a\phantom{;}+5\overline{\smash{)}\phantom{;}a^{3}+5a^{2}+a\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}a\phantom{;}+5;}\underline{-a^{3}-5a^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-a^{3}-5a^{2};}\phantom{;}a\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}a\phantom{;}+5-;x^n;}\underline{-a\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{;-a\phantom{;}-5\phantom{;}\phantom{;}-;x^n;}-6\phantom{;}\phantom{;}\\\end{array}$
$a^{2}+1+\frac{-6}{a+5}$
Risposta finale al problema
$a^{2}+1+\frac{-6}{a+5}$