Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.3 - Algebraic Expressions - 1.3 Exercises: 75

Answer

(3x + 8)(3x + 4)

Work Step by Step

With this problem, it is easiest to pretend that the 3x + 2 term is actually just x, and at the end of the problem substitute the 3x + 2 back into the equation. First you find factors of 12 that sum to 8, which are 6 and 2. This gives the binomial expressions (x + 6)(x + 2). Now substituting the 3x + 2 back into the equation gives: (3x + 2 + 6)(3x + 2 + 2) = (3x + 8)(3x + 4)
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