Answer
(2x-9)(3x+8)
Work Step by Step
Given the polynomial
$6x^{2}$ - 11x - 72
*** We break of the middle term into two factors that add to give -11 and multiply to give -432. The two numbers are -27 and +16.
$6x^{2}$ - 27x + 16x - 72
We take the GCD of the first two and the GCD of the last two terms.
3x(2x-9) + 8(2x-9)
We take (2x-9) and factor it out which gives us.
(2x-9)(3x+8)
