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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 6: Q 285. (page 729)

Simplify the polynomial.
$(3 n - 4) (n^{2} + n - 7)$

Short Answer

Expert verified

The required answer is $3 n^{3} - n^{2} - 25 n + 28$ .

Step by step solution

01

Step 1. Given information.

The given expression is $(3 n - 4) (n^{2} + n - 7)$

02

Step 2. Simplify the expression.

By using distributive property.

$(3 n - 4) (n^{2} + n - 7) = 3 n n^{2} + 3 n n + 3 n (- 7) - 4 n^{2} - 4 n - 4 (- 7) = 3 n^{3} - n^{2} - 25 n + 28$

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