The expression is .
Apply commutative property of addition: .
The general factor trinomial form is .
In the above trinomial, .
Since c is negative, the factors m and p have opposite signs.
\So either m or p is negative, but not both.
\Since b is negative, the factor with the greater absolute value is also negative.
\List the factors of , where one factor of each pair is negative and look for the pair of factors with a sum of
.
Apply the pattern form: when
.
because
.
Check:To check the solution by multiplying the two factors and this result should be equal to the original expression.
\Rewrite as the sum of two products.
\Apply distributive property: .
Combine like terms.
\The factor form of expression is .