The polynomial is .

The GCF of is 4, so factor it out.

For a trinomial to be factorable as a perfect square, the first and last terms must be perfect squares and the middle term must be two times the square roots of the first and last terms.

1. Is the first term a perfect square?   No,

2. Is the last term a perfect square?   No,

Since the all terms are does not satisfy the required condition,

is not a perfect square trinomial.

In this trinomial, . Since c is positive and b is negative, you need to find two negative factors with a sum of and a product of .

    (Substitute )

    (Apply distributive property: )

  (Apply distributive property: )

(Apply distributive property: )

            (The GCF  is 4, so factor it out)

The factor of  is  .