The polynomial is .

First find the coefficients of the x-terms;

Find two numbers with a product of 4 and 9 is 36 and a sum is 12.

So, the two coefficients must be 6 and 6 since and . (Rewrite the expression using coefficients)

Apply associative property of addition: a + (b + c) = (a + b) + c

Find the Greatest Common factor (GCF) of each group.

Greatest Common factor (GCF) of is 2x.

Greatest Common factor (GCF) of is 3.

                           (Factor out the GCF)

Rewrite the expression using Distributive Property.

The polynomial is a perfect square trinomial.

Yes, the polynomial is a perfect square trinomial.