The trinomial expression is .

The trinomial compare to general trinomial expression: , So x = p, b = 2, c = 35.

To find two numbers with a sum of 2 and a product of 35.

This trinomial list of the factors of 35, and look for the pair of factors is a sum of 2.

Factors of 35	Sum of factor
\ \	\ 2 \

The correct factors are 5 and 7.

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 .