$\"\"$

The polynomial is $\"\"$ .

The general quadratic expression form is $\"\"$ .

In the above trinomial, $\"\"$ .Since b is negative, m + p is negative.Since c is positive, mp positive.So, m and p are both negative.Next, list the factors of 20 and look for the pair with a sum of $\"\"$ .

$\"\"$

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

The polynomial is a prime.