Esercizio
$\frac{-4x^4+8x^2+7x-3}{x-5}$
Soluzione passo-passo
1
Dividere $-4x^4+8x^2+7x-3$ per $x-5$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-5;}{-4x^{3}-20x^{2}-92x\phantom{;}-453\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-5\overline{\smash{)}-4x^{4}\phantom{-;x^n}+8x^{2}+7x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-5;}\underline{\phantom{;}4x^{4}-20x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}4x^{4}-20x^{3};}-20x^{3}+8x^{2}+7x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-5-;x^n;}\underline{\phantom{;}20x^{3}-100x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}20x^{3}-100x^{2}-;x^n;}-92x^{2}+7x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-5-;x^n-;x^n;}\underline{\phantom{;}92x^{2}-460x\phantom{;}\phantom{-;x^n}}\\\phantom{;;\phantom{;}92x^{2}-460x\phantom{;}-;x^n-;x^n;}-453x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-5-;x^n-;x^n-;x^n;}\underline{\phantom{;}453x\phantom{;}-2265\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}453x\phantom{;}-2265\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}-2268\phantom{;}\phantom{;}\\\end{array}$
$-4x^{3}-20x^{2}-92x-453+\frac{-2268}{x-5}$
Risposta finale al problema
$-4x^{3}-20x^{2}-92x-453+\frac{-2268}{x-5}$