## Intermediate Algebra (6th Edition)

$c=49$
The third term of a perfect square trinomial is equal to the square of half of the coefficient of the middle term. Hence, to make the given expression, $m^2-14m+c$, a perfect square trinomial, then, \begin{array}{l} c=\left( \dfrac{14}{2} \right)^2 \\\\ c=\left( 7 \right)^2 \\\\ c=49 .\end{array}