The trinomial expression is .

The trinomial compare to general trinomial expression: , So x = c, b = 12, c = 35.

To find two numbers with a sum of 12 and a product of 35.

This trinomial list of the factors of 35, and look for the pair of factors is a sum of 12.

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).

Check:

To check the solution by multiply the two factors.

       (Using FOIL method)

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

The solution is "true".

The solution is .