The polynomial is .

The GCF of is 1.

For a trinomial to be factorable as a perfect square, the first and last terms must be perfect squares and the middle term must be two times the square roots of the first and last terms.

1. Is the first term a perfect square?   No.

So, 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.

Notice that  is common in both groups, so it becomes the GCF.

Apply distributive property: .

The factors of polynomial is .