Answer
$-(v+3)(7v+4)$.
Work Step by Step
The given polynomial is
$=-7v^2-25v-12$
Factor out $-1$.
$=-(7v^2+25v+12)$
Rewrite $25v$ as $21v+4v$.
$=-(7v^2+21v+4v+12)$
Group the terms.
$=-[(7v^2+21v)+(4v+12)]$
Factor each group.
$=-[7v(v+3)+4(v+3)]$
Factor out $(v+3)$.
$=-(v+3)(7v+4)$
Hence, the factor of the polynomial is $-(v+3)(7v+4)$.
