College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.5 - Factoring Polynomials - R.5 Exercises - Page 58: 138


$x^{2}+x+1$ is prime. Check proof below.

Work Step by Step

First we list the pairs of integers whose product is 1, along with their sum: 1 and 1 -> 2 -1 and -1 -> -2 None of these sums are equal to 1, therefore $x^{2}+x+1$ is prime
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