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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 279. (page 729)

Simplify the polynomial.
$5 q (3 q^{2} - 6 q + 11)$

Short Answer

Expert verified

The required answer is $15 q^{3} - 30 q^{2} + 55 q$ .

Step by step solution

01

Step 1. Given information.

The given expression is $5 q (3 q^{2} - 6 q + 11)$ .

02

Step 2. Simplify the expression.

By grouping like terms.

$5 q (3 q^{2} - 6 q + 11) = 5 q \times 3 q^{2} + 5 q (- 6 q) + 5 q \times 11 = 15 q^{3} - 30 q^{2} + 55 q$

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Most popular questions from this chapter

In the following exercises, multiply

$2 n (4 n^{2} - 4 n + 1)$

In the following exercises, multiply

$- 8 (z - 5)$

Multiply. Use either method.

$(3 q + 1) (q^{2} - 4 q - 5)$

Multiply the binomials. using (a) the Distributive Property (b) the Vertical Method.

$(a + 10) (3 a^{2} + a - 5)$

Simplify the polynomial.

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

See all solutions

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