The polynomial is
.
In this trinomial,
. You need to find two numbers with a sum of
and a product of
. Make a list of the factors of 120 and look for the of factors with the sum of
.

There are no factors with a sum of 5. So the quadratic expression cannot be factored using integers. Therefore,
is prime.
The quadratic expression cannot be factored using integers. Therefore,
is prime.