The polynomial expression is .

Rewrite the expression .

This is not a perfect square trinomial.

The trinomial compare to general trinomial expression: , So a = 3, b = 22, c = 16.

To find two numbers with a sum of 22 and a product of .

This trinomial list of the factors of 48, and look for the pair of factors is a sum of 22.

Factors of 48	Sum of factors
\ 3, 16 \ 2, 24 \	\ 13 \ 22 \

The correct factors are 2 and 24.

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.

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

Distribute terms using distributive property:  a( b + c) = ab + ac.

The solution is "true".

The solution is .