The polynomial is .

The GCF of is 1.

Since the first term, is not a perfect square, this is not a perfect square terminal.

The general quadratic expression form is .

In the above trinomial, .Since is negative, so the factors m and p have opposite signs.So either m or p is negative, but not both.

Since is positive, the factor with the greater absolute value is also positive.

You need to find one factor of each pair is negative with a sum of 10 and a product of  .

Make a list of the factors of and look for the of factors with the sum of 10.

There is no factor with a sum of 10.So the quadratic equation cannot be factored using integers.Threfore, is prime.

The polynomial is prime.