Answer
$4z^3-10z^2-26z-10$
Work Step by Step
Using the Distributive Property, the product of the given expression, $
(4z+2)(z^2-3z-5)
,$ is
\begin{array}{l}\require{cancel}
4z(z^2)+4z(-3z)+4z(-5)+2(z^2)+2(-3z)+2(-5)
\\\\=
4z^3-12z^2-20z+2z^2-6z-10
\\\\=
4z^3+(-12z^2+2z^2)+(-20z-6z)-10
\\\\=
4z^3-10z^2-26z-10
.\end{array}
