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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 7: Q. 394 (page 899)

In the following exercises, factor completely.
$8 a^{2} + 32 a + 24$

Short Answer

Expert verified

The factors are $8 (a + 3) (a + 1)$

Step by step solution

01

Step 1. Given information

The given polynomial is $8 a^{2} + 32 a + 24$

02

Step 2. Factor the polynomial

So factorisation is as follows:

$8 a^{2} + 32 a + 24 = 8 (a^{2} + 4 a + 3) = 8 (a^{2} + 3 a + a + 3) = 8 (a (a + 3) + 1 (a + 3)) = 8 (a + 3) (a + 1)$

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