Answer
(2z - 5)($7z^{2}$ + 8)
Work Step by Step
$14z^{3} - 35z^{2} + 16z - 40$
Factor by grouping, group the first two terms together.
$(14z^{3} - 35z^{2}) + (16z - 40)$
Factor out the common factors from both parenthesis.
$7z^{2}$(2z - 5) + 8(2z - 5)
We take (2z - 5) and factor it out which gives us.
(2z - 5)($7z^{2}$ + 8)