Question

CASO 5 FACTORIZACION:
A. $x^{2}$+10x+24
b. $x^{2}$-2x-15

Answer 1

Primer ejercicio:

$x^2+10x+24\\\\=\left(x^2+4x\right)+\left(6x+24\right)\\\\=x\left(x+4\right)+6\left(x+4\right)\\\\=\left(x+4\right)\left(x+6\right)$

Segundo ejercicio:

$x^2-2x-15\\\\=\left(x^2+3x\right)+\left(-5x-15\right)\\\\=x\left(x+3\right)-5\left(x+3\right)\\\\=\left(x+3\right)\left(x-5\right)$