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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 200. (page 727)

Multiply a Polynomial by a monomial.
$- 5 m (m^{2} + 3 m - 18)$

Short Answer

Expert verified

The required answer is $- 5 m^{3} - 15 m^{2} + 90 m$ .

Step by step solution

01

Step 1. Given information

Given expression is $- 5 m (m^{2} + 3 m - 18)$

02

Step 2. Simplify the expression.

Apply the distributive property.

$- 5 m (m^{2} + 3 m - 18) = - 5 m m^{2} - 5 m \cdot 3 m - 5 m (- 18) = - 5 m^{3} - 15 m^{2} + 90 m$

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Most popular questions from this chapter

Multiply. Use either method.

$(w - 7) (w^{2} - 9 w + 10)$

Simplify the polynomial.

$(15 c^{2} - 4 c + 5) c^{4}$

Simplify the polynomial.

$(4 m^{2} - 3 m - 7) m^{2}$

In the following exercises, multiply

$9 r^{3} (r^{2} - 3 r + 5)$

Multiply: $2 p (6 p + r)$

See all solutions

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