Answer
$(2m+7)(4m+1)$.
Work Step by Step
The given polynomial is
$=8m^2+30m+7$
Rewrite $30m$ as $28m+2m$.
$=8m^2+28m+2m+7$
Group the terms.
$=(8m^2+28m)+(2m+7)$
Factor each group.
$=4m(2m+7)+1(2m+7)$
Factor out $(2m+7)$.
$=(2m+7)(4m+1)$
Hence, the factor of the polynomial is $(2m+7)(4m+1)$.
