Answer
(d+32)(d-2)
Work Step by Step
Given the polynomial
$d^{2}$ + 30d - 64
*** We break of the middle term into two factors that add to give +30 and multiply to give -64. The two numbers are +32 and -2.
$d^{2}$ + 32d - 2d - 64
We take the GCD of the first two and the GDC of the last two terms.
d(d+32) -2(d+32)
We take (d+32) and factor it out which gives us.
(d+32)(d-2)