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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 6: Q 273. (page 728)

Multiply. Use either method.
$(3 q + 1) (q^{2} - 4 q - 5)$

Short Answer

Expert verified

The required answer is $3 q^{3} - 11 q^{2} - 19 q - 5$ .

Step by step solution

01

Step 1. Given information.

The given polynomial is $(3 q + 1) (q^{2} - 4 q - 5)$ .

02

Step 1. Simplify the expression.

By using Distributive Property.

$(3 q + 1) (q^{2} - 4 q - 5) = 3 q q^{2} + 3 q (- 4 q) + 3 q (- 5) + 1 路鈥� q^{2} + 1 路 (- 4 q) + 1 路 (- 5) = 3 q^{3} - 11 q^{2} - 19 q - 5$

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