Esercizio
$\frac{\:x^3-2x+70\:\:\:}{x+4}$
Soluzione passo-passo
1
Dividere $x^3-2x+70$ per $x+4$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+4;}{\phantom{;}x^{2}-4x\phantom{;}+14\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+4\overline{\smash{)}\phantom{;}x^{3}\phantom{-;x^n}-2x\phantom{;}+70\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+4;}\underline{-x^{3}-4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-4x^{2};}-4x^{2}-2x\phantom{;}+70\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n;}\underline{\phantom{;}4x^{2}+16x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}4x^{2}+16x\phantom{;}-;x^n;}\phantom{;}14x\phantom{;}+70\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n-;x^n;}\underline{-14x\phantom{;}-56\phantom{;}\phantom{;}}\\\phantom{;;-14x\phantom{;}-56\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}14\phantom{;}\phantom{;}\\\end{array}$
$x^{2}-4x+14+\frac{14}{x+4}$
Risposta finale al problema
$x^{2}-4x+14+\frac{14}{x+4}$