#### Answer

(3x-4)(5x+2)

#### Work Step by Step

Given the polynomial
$15x^{2}$ - 14x - 8
*** We break of the middle term into two factors that add to give -14 and multiply to give -120. The two numbers are -20 and +6.
$15x^{2}$ - 20x + 6x - 8
We take the GCD of the first two and the GCD of the last two terms.
5x(3x-4) +2(3x-4)
We take (3x-4) and factor it out which gives us.
(3x-4)(5x+2)