Esercizio
$\frac{x^4-6x^3+8x^2+12}{x-4}$
Soluzione passo-passo
1
Dividere $x^4-6x^3+8x^2+12$ per $x-4$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-4;}{\phantom{;}x^{3}-2x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;}x\phantom{;}-4\overline{\smash{)}\phantom{;}x^{4}-6x^{3}+8x^{2}\phantom{-;x^n}+12\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-4;}\underline{-x^{4}+4x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{4}+4x^{3};}-2x^{3}+8x^{2}\phantom{-;x^n}+12\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-4-;x^n;}\underline{\phantom{;}2x^{3}-8x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}2x^{3}-8x^{2}-;x^n;}\phantom{;}12\phantom{;}\phantom{;}\\\end{array}$
$x^{3}-2x^{2}+\frac{12}{x-4}$
Risposta finale al problema
$x^{3}-2x^{2}+\frac{12}{x-4}$