Esercizio
$\frac{2x^3+13x^2+20x+9}{2x+9}$
Soluzione passo-passo
1
Dividere $2x^3+13x^2+20x+9$ per $2x+9$
$\begin{array}{l}\phantom{\phantom{;}2x\phantom{;}+9;}{\phantom{;}x^{2}+2x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{;}2x\phantom{;}+9\overline{\smash{)}\phantom{;}2x^{3}+13x^{2}+20x\phantom{;}+9\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2x\phantom{;}+9;}\underline{-2x^{3}-9x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{3}-9x^{2};}\phantom{;}4x^{2}+20x\phantom{;}+9\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}+9-;x^n;}\underline{-4x^{2}-18x\phantom{;}\phantom{-;x^n}}\\\phantom{;-4x^{2}-18x\phantom{;}-;x^n;}\phantom{;}2x\phantom{;}+9\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}+9-;x^n-;x^n;}\underline{-2x\phantom{;}-9\phantom{;}\phantom{;}}\\\phantom{;;-2x\phantom{;}-9\phantom{;}\phantom{;}-;x^n-;x^n;}\\\end{array}$
Risposta finale al problema
$x^{2}+2x+1$