Esercizio
$\frac{20x^3-9x^2-14x-1}{5x-1}$
Soluzione passo-passo
1
Dividere $20x^3-9x^2-14x-1$ per $5x-1$
$\begin{array}{l}\phantom{\phantom{;}5x\phantom{;}-1;}{\phantom{;}4x^{2}-x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{;}5x\phantom{;}-1\overline{\smash{)}\phantom{;}20x^{3}-9x^{2}-14x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}5x\phantom{;}-1;}\underline{-20x^{3}+4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-20x^{3}+4x^{2};}-5x^{2}-14x\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}5x\phantom{;}-1-;x^n;}\underline{\phantom{;}5x^{2}-x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}5x^{2}-x\phantom{;}-;x^n;}-15x\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}5x\phantom{;}-1-;x^n-;x^n;}\underline{\phantom{;}15x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}15x\phantom{;}-3\phantom{;}\phantom{;}-;x^n-;x^n;}-4\phantom{;}\phantom{;}\\\end{array}$
$4x^{2}-x-3+\frac{-4}{5x-1}$
Risposta finale al problema
$4x^{2}-x-3+\frac{-4}{5x-1}$