Answer
$2p^2+pq+q^2$
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.
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 5 - Polynomials and Factoring - 5.6 Factoring: A General Strategy - 5.6 Exercise Set - Page 344: 62
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