The polynomial is .

First find the coefficients of the x-terms;

Find two numbers with a product of 2 and 25 is 50 and a sum is 15.

So, the two coefficients must be 5 and 10 since and (5 + 10)= 15.

(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 .

                 (Factor out the GCF)

Rewrite the expression using Distributive Property

The polynomial is not a perfect square trinomial.

No, the polynomial is not a perfect square trinomial.