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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 182 (page 850)

In the following exercises, the factor
$6 u^{2} - 46 u - 16$

Short Answer

Expert verified

The factorization of the expression $6 u^{2} - 46 u - 16$ is $2 (3 u + 1) (u - 8)$ .

Step by step solution

01

Step 1. Given information

Given expression is $6 u^{2} - 46 u - 16$ ,

02

Step 2. Factorizing by 'ac' method.

$a 脳 c = 3 脳 (- 8) = - 24$

Factorization:

6 u^{2} - 46 u - 16 = 2 (3 u^{2} - 23 u - 8) = 2 (3 u^{2} + u - 24 u - 8) = 2 (u (3 u + 1) - 8 (3 u + 1)) = 2 (3 u + 1) (u - 8)

03

Step 3. Check

$2 (3 u + 1) (u - 8) = 2 (3 u^{2} + u - 24 u - 8) = 6 u^{2} - 46 u - 16$

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