Answer
Option D
6(5z-2)($z^{2}$+4)
Work Step by Step
Given the polynomial
$30z^{3}$ - $12z^{2}$ + 120z- 48
We see that the three terms have a common factor of 6 so we factor out a 6.
6($5z^{3}$ - $2z^{2}$ + 20z- 8)
We take the GCD of the first two and the GCD of the last two terms.
6($z^{2}$(5z-2) +4(5z-2))
We take (5z-2) and factor it out which gives us.
6(5z-2)($z^{2}$+4)
