Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 8 - Polynomials and Factoring - 8-5 Factoring X(squared) + bx + c - Practice and Problem-Solving Exercises: 20

Answer

(b - 8)(b - 3)

Work Step by Step

First, list all pairs of numbers that multiply to 24, the "c" in this equation: 1,24 2,12 3,8 4,6 Next, determine which pair adds up to 11, the "b" in this equation. In this case, 3 + 8 = 11. Because the "b" in this equation is negative, 3 and 8 also need to be negative so that they add up to -11. Plugging in -3 and -8, we get: (b - 3)(b - 8) This fits our requirements, because -3 + -8 = -11, and (-3) x (-8) = 24, so this is our answer.
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