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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 176 (page 850)

In the following exercises, factor
$6 p^{2} + p - 22$

Short Answer

Expert verified

The factorization of the expression is $(p + 2) (6 p - 11)$ .

Step by step solution

01

Step 1. Given information

Given expression is $6 p^{2} + p - 22$ .

02

Step 2. Factorizing by 'ac' method.

$a 脳 c = - 132$

Factorization:

6 p^{2} + p - 22 = 6 p^{2} + 12 p - 11 p - 22 = 6 p (p + 2) - 11 (p + 2) = (p + 2) (6 p - 11)

03

Step 3. Check

$(p + 2) (6 p - 11) = 6 p^{2} + 12 p - 11 p - 22 = 6 p^{2} + p - 22$

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