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 6.2 - Factoring Trinomials Whose Leading Coefficient is 1 - Exercise Set - Page 437: 90


Doesn't make sense.

Work Step by Step

Their product must be $+72$, which is positive, so both integers must be negative, or both positive. Their sum is negative, so they both should be negative. "All number pairs... " includes -3 and 20, 83 and -100, 983 and -1000 etc. This would be a waste of time since none of the products of these pairs can be positive. Instead of all number pairs, you could start by searching pairs of NEGATIVE integers whose sum is -17. In fact, the best start (the least time consuming start) you might have is to list the pairs of negative factors of +72.
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