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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. 374 (page 898)

Factor by grouping
$4 x^{2} 鈭� 16 x + 3 x 鈭� 12$

Short Answer

Expert verified

Factor is: $4 x^{2} 鈭� 16 x + 3 x 鈭� 12 = (x - 4) (4 x + 3)$

Step by step solution

01

Step 1. Given information

given expression, $4 x^{2} 鈭� 16 x + 3 x 鈭� 12$

02

Step 2. Grouping given expression,

$4 x^{2} 鈭� 16 x + 3 x 鈭� 12 = (4 x^{2} 鈭� 16) (3 x 鈭� 12)$

03

Step 3. Factor

$(4 x^{2} 鈭� 16) (3 x 鈭� 12) = 4 x (x - 4) + 3 (x - 4) = (x - 4) (4 x + 3)$

Therefore, the factor of the given expression is $(x - 4) (4 x + 3)$

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