Esercizio
$\frac{x^5-2x^4+x+5}{x^4+1}$
Soluzione passo-passo
1
Dividere $x^5-2x^4+x+5$ per $x^4+1$
$\begin{array}{l}\phantom{\phantom{;}x^{4}+1;}{\phantom{;}x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{;}x^{4}+1\overline{\smash{)}\phantom{;}x^{5}-2x^{4}\phantom{-;x^n}\phantom{-;x^n}+x\phantom{;}+5\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{4}+1;}\underline{-x^{5}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}-x\phantom{;}\phantom{-;x^n}}\\\phantom{-x^{5}-x\phantom{;};}-2x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{4}+1-;x^n;}\underline{\phantom{;}2x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}+2\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}2x^{4}+2\phantom{;}\phantom{;}-;x^n;}\phantom{;}7\phantom{;}\phantom{;}\\\end{array}$
$x-2+\frac{7}{x^4+1}$
Risposta finale al problema
$x-2+\frac{7}{x^4+1}$