The polynomial expression is .

Rewrite the expression .

This is not a perfect square trinomial.

The trinomial compare to general trinomial expression: , So a = 9, b = 24, c = 16.

To find two numbers with a sum of 24 and a product of .

This trinomial list of the factors of 144, and look for the pair of factors is a sum of 24.

The correct factors are 12 and 12.

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.

Product of two same sings is positive.

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 .