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