Respuesta :

We want to factor 3x² + 8x - 16.

Note that
16 = 1 x 16
    = 2 x 8
    = 4 x 4

By using 16 = 4 x 4, obtain
(3x)(4) - (x)(4) = 12x - 4x = 8x
This produces 8x in the given expression.

Therefore
3x² + 8x - 16 = (3x - 4)(x + 4)

Answer: (3x - 4)(x + 4)