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: 97

Answer

possible values of b: $16,-16,8,-8$

Work Step by Step

If the trinomial $ax^{2}+bx+c$ can be factored, it will be in the form $(x+n)(x+m)$, where the product of integers n and m is $c$ their sum is $b.$ c is positive, both factors have the same sign. $\left[\begin{array}{ccc} \text{pairs of factors} & \text{sum = b} & \\ 1,15 & 16 & \\ -1,-15 & -16 & \\ 3, 5 & 8 & \\ -3,-5 & -8 & \end{array}\right]$ possible values of b: $16,-16,8,-8$
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