Esercizio
$\frac{x^3+5x^2-8x+16}{x+5}$
Soluzione passo-passo
1
Dividere $x^3+5x^2-8x+16$ per $x+5$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+5;}{\phantom{;}x^{2}\phantom{-;x^n}-8\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+5\overline{\smash{)}\phantom{;}x^{3}+5x^{2}-8x\phantom{;}+16\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+5;}\underline{-x^{3}-5x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-5x^{2};}-8x\phantom{;}+16\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n;}\underline{\phantom{;}8x\phantom{;}+40\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}8x\phantom{;}+40\phantom{;}\phantom{;}-;x^n;}\phantom{;}56\phantom{;}\phantom{;}\\\end{array}$
$x^{2}-8+\frac{56}{x+5}$
Risposta finale al problema
$x^{2}-8+\frac{56}{x+5}$