The trinomial expression is .

The trinomial compare to general trinomial expression: , So a = 6, b = 14, c = 12.

To find two numbers with a sum of 14 and a product of .

This trinomial list of the factors of 72, and look for the pair of factors is a sum of 14.

Factors of 72	Sum of factor
\ 8, 9 \ 6, 12 \ 4, 18 \	\ 1 \ \ \ 6 \ \ \ 14 \

The correct factors are 4 and 18.

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 .