Esercizio
$\frac{x^6+4x^4+4x^2+16}{x^2+4}$
Soluzione passo-passo
1
Dividere $x^6+4x^4+4x^2+16$ per $x^2+4$
$\begin{array}{l}\phantom{\phantom{;}x^{2}+4;}{\phantom{;}x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}+4\phantom{;}\phantom{;}}\\\phantom{;}x^{2}+4\overline{\smash{)}\phantom{;}x^{6}\phantom{-;x^n}+4x^{4}\phantom{-;x^n}+4x^{2}\phantom{-;x^n}+16\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}+4;}\underline{-x^{6}\phantom{-;x^n}-4x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{6}-4x^{4};}\phantom{;}4x^{2}\phantom{-;x^n}+16\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}+4-;x^n;}\underline{-4x^{2}\phantom{-;x^n}-16\phantom{;}\phantom{;}}\\\phantom{;-4x^{2}-16\phantom{;}\phantom{;}-;x^n;}\\\end{array}$
Risposta finale al problema
$x^{4}+4$