Esercizio
$\frac{-x^4-2x^3+6x^2-4}{x-3}$
Soluzione passo-passo
1
Dividere $-x^4-2x^3+6x^2-4$ per $x-3$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-3;}{-x^{3}-5x^{2}-9x\phantom{;}-27\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-3\overline{\smash{)}-x^{4}-2x^{3}+6x^{2}\phantom{-;x^n}-4\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-3;}\underline{\phantom{;}x^{4}-3x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{4}-3x^{3};}-5x^{3}+6x^{2}\phantom{-;x^n}-4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n;}\underline{\phantom{;}5x^{3}-15x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}5x^{3}-15x^{2}-;x^n;}-9x^{2}\phantom{-;x^n}-4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n;}\underline{\phantom{;}9x^{2}-27x\phantom{;}\phantom{-;x^n}}\\\phantom{;;\phantom{;}9x^{2}-27x\phantom{;}-;x^n-;x^n;}-27x\phantom{;}-4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n-;x^n;}\underline{\phantom{;}27x\phantom{;}-81\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}27x\phantom{;}-81\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}-85\phantom{;}\phantom{;}\\\end{array}$
$-x^{3}-5x^{2}-9x-27+\frac{-85}{x-3}$
Risposta finale al problema
$-x^{3}-5x^{2}-9x-27+\frac{-85}{x-3}$