The polynomial is .

The GCF of is 1.

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?   Yes, .

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

Since the middle term does not satisfy the required condition,

is not a perfect square trinomial.

In this trinomial, . To determine m and p , Since b is positive, the factor with the greater absolute value is also positive. List of factors   , where one factor of each pair is negative.

Look for the pair of factors with a sum of .

There are no factors with a sum of 9. So the quadratic expression cannot be factored using integers. Therefore    is prime.

There are no factors with a sum of 9. So the quadratic expression cannot be factored using integers. Therefore    is prime.