16x 2 + 8x - 15 Mathematics?

If you're factoring, your answer is

(4x - 3) (4x + 5)

You'll work it out this way:

16x^2 + 8x - 15

Since there's no GCF here, you multiply the first and third terms, giving you - 240. Your next step is to find two numbers that have a sum of 8 and a product of - 240. These numbers are 20 and - 12. Plug those in and you've got:

16x^2 + 20x - 12x - 15

From here you divide it into two binomials. These are (16x^2 + 20x) and (-12x - 15).

When you take out the greatest common factors (4x and - 3), they become:

4x (4x + 5) - 3 (4x + 5)

Then you group what's outside of the parentheses together (4x - 3)

And bring what's inside of the parentheses down (4x + 5).

This brings your answer to

(4x - 3) (4x + 5)