Ejercicio
$\frac{2x^3}{x+2}$
Solución explicada paso por paso
1
Realizamos la división de polinomios, $2x^3$ entre $x+2$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{\phantom{;}2x^{2}-4x\phantom{;}+8\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}\phantom{;}2x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{-2x^{3}-4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{3}-4x^{2};}-4x^{2}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{\phantom{;}4x^{2}+8x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}4x^{2}+8x\phantom{;}-;x^n;}\phantom{;}8x\phantom{;}\phantom{-;x^n}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n-;x^n;}\underline{-8x\phantom{;}-16\phantom{;}\phantom{;}}\\\phantom{;;-8x\phantom{;}-16\phantom{;}\phantom{;}-;x^n-;x^n;}-16\phantom{;}\phantom{;}\\\end{array}$
2
Polinomio resultado de la división
$2x^{2}-4x+8+\frac{-16}{x+2}$
Respuesta final al problema
$2x^{2}-4x+8+\frac{-16}{x+2}$