The polynomial is
.
The GCF of
is
, so factor it out.

In the polynomial
, 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, the factors m and p have opposite signs.
So either m or p is negative, but not both.
\Since
is negative, the factor with the greater absolute value is also negative.
To determine
, list the factors of
, where one factor of each pair is negative and look for the pair of factors with a sum of
.

The correct factors are
.
Apply the pattern:
.
.
Group terms with common factors.
\
Factors the GCF from each group.
\
Apply distributive property:
.

The factors of polynomial is
.