Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 5 - Polynomials and Factoring - 5.4 Factoring Perfect-Square Trinomials and Differences of Squares - 5.4 Exercise Set - Page 332: 17


a perfect square trinomial

Work Step by Step

The given expression, $ 9x^2+25-30x $ is equivalent to $9x^2-30x+25$.\\ The first and third terms of the expression above are both perfect squares. The middle term is twice the product of the square root of the first term and the square root of the third term. Hence, it is $\text{ a perfect square trinomial .}$
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