Esercizio
$\frac{2x^3-x+4}{x+5}$
Soluzione passo-passo
1
Dividere $2x^3-x+4$ per $x+5$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+5;}{\phantom{;}2x^{2}-10x\phantom{;}+49\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+5\overline{\smash{)}\phantom{;}2x^{3}\phantom{-;x^n}-x\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+5;}\underline{-2x^{3}-10x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{3}-10x^{2};}-10x^{2}-x\phantom{;}+4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n;}\underline{\phantom{;}10x^{2}+50x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}10x^{2}+50x\phantom{;}-;x^n;}\phantom{;}49x\phantom{;}+4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n-;x^n;}\underline{-49x\phantom{;}-245\phantom{;}\phantom{;}}\\\phantom{;;-49x\phantom{;}-245\phantom{;}\phantom{;}-;x^n-;x^n;}-241\phantom{;}\phantom{;}\\\end{array}$
$2x^{2}-10x+49+\frac{-241}{x+5}$
Risposta finale al problema
$2x^{2}-10x+49+\frac{-241}{x+5}$