The trinomial expression is .

The trinomial compare to general trinomial expression: , So x = y, b = 1, c = 20.

To find two numbers with a sum of 1 and a product of 20.

This trinomial list of the factors of 20, and look for the pair of factors is a sum of 1.

Factors of 20	Sum of factor
\ 2, 10 \ \	\ 8 \ 1 \

The correct factors are 4 and 5.

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  as (x + m)(x + n).

     (Product of two different signs is negative)

Check:

To check the solution by multiply the two factors.

       (Using FOIL method)

                   (Product of two different signs is negative)

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

The solution is "true".

The solution is .