Esercizio
$\frac{6x^3+9x^2+13x+14}{2x+1}$
Soluzione passo-passo
1
Dividere $6x^3+9x^2+13x+14$ per $2x+1$
$\begin{array}{l}\phantom{\phantom{;}2x\phantom{;}+1;}{\phantom{;}3x^{2}+3x\phantom{;}+5\phantom{;}\phantom{;}}\\\phantom{;}2x\phantom{;}+1\overline{\smash{)}\phantom{;}6x^{3}+9x^{2}+13x\phantom{;}+14\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2x\phantom{;}+1;}\underline{-6x^{3}-3x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-6x^{3}-3x^{2};}\phantom{;}6x^{2}+13x\phantom{;}+14\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}+1-;x^n;}\underline{-6x^{2}-3x\phantom{;}\phantom{-;x^n}}\\\phantom{;-6x^{2}-3x\phantom{;}-;x^n;}\phantom{;}10x\phantom{;}+14\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}+1-;x^n-;x^n;}\underline{-10x\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{;;-10x\phantom{;}-5\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}9\phantom{;}\phantom{;}\\\end{array}$
$3x^{2}+3x+5+\frac{9}{2x+1}$
Risposta finale al problema
$3x^{2}+3x+5+\frac{9}{2x+1}$