Esercizio
$\frac{8x^3+14x^2+13x+17}{2x+3}$
Soluzione passo-passo
1
Dividere $8x^3+14x^2+13x+17$ per $2x+3$
$\begin{array}{l}\phantom{\phantom{;}2x\phantom{;}+3;}{\phantom{;}4x^{2}+x\phantom{;}+5\phantom{;}\phantom{;}}\\\phantom{;}2x\phantom{;}+3\overline{\smash{)}\phantom{;}8x^{3}+14x^{2}+13x\phantom{;}+17\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2x\phantom{;}+3;}\underline{-8x^{3}-12x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-8x^{3}-12x^{2};}\phantom{;}2x^{2}+13x\phantom{;}+17\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}+3-;x^n;}\underline{-2x^{2}-3x\phantom{;}\phantom{-;x^n}}\\\phantom{;-2x^{2}-3x\phantom{;}-;x^n;}\phantom{;}10x\phantom{;}+17\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}+3-;x^n-;x^n;}\underline{-10x\phantom{;}-15\phantom{;}\phantom{;}}\\\phantom{;;-10x\phantom{;}-15\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}2\phantom{;}\phantom{;}\\\end{array}$
$4x^{2}+x+5+\frac{2}{2x+3}$
Risposta finale al problema
$4x^{2}+x+5+\frac{2}{2x+3}$