Esercizio
\frac{5x^3 - 11x^2 - 14x - 16}{x - 3}
Soluzione passo-passo
1
Interpretazione matematica della domanda
$\frac{5x^3-11x^2-14x-16}{x-3}$
2
Dividere $5x^3-11x^2-14x-16$ per $x-3$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-3;}{\phantom{;}5x^{2}+4x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-3\overline{\smash{)}\phantom{;}5x^{3}-11x^{2}-14x\phantom{;}-16\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-3;}\underline{-5x^{3}+15x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-5x^{3}+15x^{2};}\phantom{;}4x^{2}-14x\phantom{;}-16\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n;}\underline{-4x^{2}+12x\phantom{;}\phantom{-;x^n}}\\\phantom{;-4x^{2}+12x\phantom{;}-;x^n;}-2x\phantom{;}-16\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n;}\underline{\phantom{;}2x\phantom{;}-6\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}2x\phantom{;}-6\phantom{;}\phantom{;}-;x^n-;x^n;}-22\phantom{;}\phantom{;}\\\end{array}$
$5x^{2}+4x-2+\frac{-22}{x-3}$
Risposta finale al problema
$5x^{2}+4x-2+\frac{-22}{x-3}$