Work Step by Step
There are no two numbers whose product is $ac= 2(1)=2 $ and whose sum is $b= 1 $ Hence, the given expression, $ 2p^2+pq+q^2 ,$ is prime.
You can help us out by revising, improving and updating this answer.Update this answer
After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.