Question

como factorizar x3 + 2x2 – 9x – 18

Answer 1

$x^3+\:2x^2\:-\:9x\:-\:18$
$=\left(x^3+2x^2\right)+\left(-9x-18\right)$
$\mathrm{Factorizar\:}x^2\mathrm{\:de\:}x^3+2x^2\mathrm{:\quad }x^2\left(x+2\right)$
$\mathrm{Factorizar\:}-9\mathrm{\:de\:}-9x-18\mathrm{:\quad }-9\left(x+2\right)$
$=x^2\left(x+2\right)-9\left(x+2\right)$
$\mathrm{Factorizar\:el\:termino\:comun\:}\left(x+2\right)$
$=\left(x+2\right)\left(x^2-9\right)$
$=\left(x+2\right)\left(x+3\right)\left(x-3\right)$