The polynomial is
.
The GCF of
is 1.
Since the first term,
is not a perfect square, this is not a perfect square terminal.
The general quadratic expression form is
.
In the above trinomial,
.Since
is negative, so the factors m and p have opposite signs.So either m or p is negative, but not both.
Since
is positive, the factor with the greater absolute value is also positive.
You need to find one factor of each pair is negative with a sum of 39 and a product of
.
Make a list of the factors of
and look for the of factors with the sum of 39.

The correct factors are
.
Apply the pattern:
.
.
Group terms with common factors.
\
Factors the GCF from each group.
\
Notice that
is common in both groups, so it becomes the GCF.
Apply distributive property:
.

The factors form of polynomial is
.