Answer
$(p+7)(p-5)$.
Work Step by Step
The given polynomial is
$=p^2+2p-35$
Rewrite $2p$ as $7p-5p$.
$=p^2+7p-5p-35$
Group the terms.
$=(p^2+7p)+(-5p-35)$
Factor each group.
$=p(p+7)-5(p+7)$
Factor out $(p+7)$.
$=(p+7)(p-5)$
Hence, the factor of the polynomial is $(p+7)(p-5)$.
