Answer
$(m+7)(m-7)$.
Work Step by Step
The given polynomial is
$= m^2-49$
Write the the polynomial as $a^2-b^2$.
$= m^2-7^2$
Use difference of two square pattern
$a^2-b^2=(a+b)(a-b)$.
We have $a=m$ and $b=7$.
$= (m+7)(m-7)$
Hence, the factor of the polynomial is $(m+7)(m-7)$.