The polynomial is .

First find the coefficients of the x-terms;

Find two numbers with a product of 1 and 49 is 49 and a sum is .

So, the two coefficients must be and 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 x.

Greatest Common factor (GCF) of is .

                           (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.