Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.4 - Factoring Special Forms - Exercise Set - Page 454: 64

Answer

This polynomial is prime.

Work Step by Step

$x^2+9xy+16y^2$ This polynomial is prime because the perfect square trinomial formula says that $(A±B)^2=A^2±2AB+B^2$ In the given example, $2AB=9xy≠2×x×4y$. If it were a perfect square trinomial, the middle term would be $8xy$.
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