#### Answer

(4w+3)(w-2)

#### Work Step by Step

Given the polynomial
$4w^{2}$ -5w - 6
*** We break of the middle term into two factors that add to give -5 and multiply to give -24. The two numbers are -8 and +3.
$4w^{2}$ -8w +3w - 6
We take the GCD of the first two and the GCD of the last two terms.
4w(w-2) +3(w-2)
We take (w-2) and factor it out which gives us.
(4w+3)(w-2)