What is the factored form of the expression 3*2+8*-16

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)