Question 40544
Try this:

The factor will be of the form (m+a)(m+b) where:
(a)(b) = +48 
a + b = -14

The obvious candidates for a and b are 6 and 8, but since you need their sum to be -14, then -6 and -8 would be more logical choices. Let's try them, using FOIL.

{{{(m-6)(m-8) = m^2 - 8m - 6m + 48}}} Simplifying, you get {{{m^2 - 14m + 48}}}

The factors are: (m-6)(m-8)