Question

TEOREMA DE FACTORIZACION LINEAL


a) x³+2x²-3x-6

Answer 1

x^3+2x^2-3x-6
=(x^3+2x^2)+(-3x-6)
$\mathrm{Factorizar\:}x^2\mathrm{\:de\:}x^3+2x^2\mathrm{:\quad }x^2\left(x+2\right)$
$\mathrm{Factorizar\:}-3\mathrm{\:de\:}-3x-6\mathrm{:\quad }-3\left(x+2\right)$
$=x^2\left(x+2\right)-3\left(x+2\right)$
Factor común: (x+2)
$=\left(x+2\right)\left(x^2-3\right)$
$=\left(x+\sqrt{3}\right)\left(x-\sqrt{3}\right)$
$=\left(x+2\right)\left(x+\sqrt{3}\right)\left(x-\sqrt{3}\right)$