The trinomial expression is .

The trinomial compare to general trinomial expression: , So a = 5, b = 6, c = 8.

To find two numbers with a sum of 6 and a product of .

This trinomial list of the factors of 40, and look for the pair of factors is a sum of 6.

Factors of 40	Sum of factor
\ 5, 8 \ 2, 20 \ 4, 10 \	\ 3 \ 18    \ 6 \

The correct factors are 4 and 10.

To factor trinomials of the form , find two integers, m and n, with a sum equal to b and a product equal to c.

Then write  .

Group terms with common factors.

Combine like terms using distributive property: ac  bc = (a b)c.

Check:

To check the solution by multiply the two factors.

    (Using FOIL method)

Product of two different sings is negative.

Combine like terms using distributive property: ac  bc = (a b)c.

The solution is "true".

The solution is .