The polynomial is .

Factor each term.

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 form of polynomial is .