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
.