Answer
$(2v-7)(2v-1)$
Work Step by Step
Factor each expression.
$4v^{2}-16v+7$
Rewrite as:
$4v^{2}-2v-14v+7$
Take out a common factor of $2v$ in the first two terms and pull out a -7 in the second two terms
$2v(2v-1)-7(2v-1)$
Group the polynomial into two groups of two and factor out their GCF's
$(2v-7)(2v-1)$