The polynomial expression is .

This is not a perfect square trinomial. \ \

The trinomial compare to general trinomial expression: , So a = 1, b = 5, c = 6.

To find two numbers with a sum of 5 and a product of .

This trinomial list of the factors of 6, and look for the pair of factors is a sum of 5.

The correct factors are 2 and 3.

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 a negative.

Product of two same sings is a positive.

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

The solution is "true".

The solution is .