The expression is
.
In this 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 positive, the factor with the greater absolute value is also positive.
\List the factors of
, where one factor of each pair is negative.
Look for the pair of factors with a sum of 8.
\
Factoring:
when
.

. (Substitute:
)
Check:
\
(Write the diffrence of two products)
(Apply distributive property:
)
(Multiply:
)
(Apply distributive property:
)
(Multiply:
)
(Subtract:
)
Therefore, the trinomial has been factored correctly.
\The factors of
is
.