Answer
(z+4)(5z-1)
Work Step by Step
You are given $5z^{2}$+19z-4. Factor it out:
$5z^{2}$+20z-z-4 -break out the middle value-
($5z^{2}$+20z)+(-z-4) -group the first two and last two terms-
5z(z+4)-1(z+4) -Find the GCF of each grouping-
(z+4)(5z-1) -factor out the common term-
=(z+4)(5z-1)