The polynomial is .

First find the coefficients of the x-terms;

Find two numbers with a product of 25 and 4 is 100 and a sum is 20.

So, the two coefficients must be 10 and 10 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 5x.

Greatest Common factor (GCF) of is 2.

              (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.