Esercizio
\frac{x^3 - 16x^2 - 33x - 18}{x - 1}
Soluzione passo-passo
1
Interpretazione matematica della domanda
$\frac{x^3-16x^2-33x-18}{x-1}$
2
Dividere $x^3-16x^2-33x-18$ per $x-1$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-1;}{\phantom{;}x^{2}-15x\phantom{;}-48\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-1\overline{\smash{)}\phantom{;}x^{3}-16x^{2}-33x\phantom{;}-18\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-1;}\underline{-x^{3}+x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}+x^{2};}-15x^{2}-33x\phantom{;}-18\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n;}\underline{\phantom{;}15x^{2}-15x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}15x^{2}-15x\phantom{;}-;x^n;}-48x\phantom{;}-18\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n-;x^n;}\underline{\phantom{;}48x\phantom{;}-48\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}48x\phantom{;}-48\phantom{;}\phantom{;}-;x^n-;x^n;}-66\phantom{;}\phantom{;}\\\end{array}$
$x^{2}-15x-48+\frac{-66}{x-1}$
Risposta finale al problema
$x^{2}-15x-48+\frac{-66}{x-1}$