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