Question

Multiply. $$ (-8 x+1)(-2) $$

Name: Problem 10, Chapter 2: Elementary Algebra
Uploaded: 2022-01-24T00:05:39-08:00
Duration: 42 s
Channel: Karla Conrey
Description: Multiply. (-8 x+1)(-2)

   Multiply.
$$
(-8 x+1)(-2)
$$

Elementary Algebra

John Redden 1st Edition

Chapter 2, Problem 10

Instant Answer

Solved by Expert Karla Conrey

01/24/2022

Step 1

This means we multiply -2 by -8x and -2 by 1. $$ -2 \times (-8x) + -2 \times 1 $$ Show more…

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Multiply. $$ (-8 x+1)(-2) $$

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Key Concepts

Distributive Property

This principle allows you to multiply each term of a polynomial by a constant or another polynomial. It states that a term multiplied by a sum (or difference) can be distributed to each addend individually, ensuring that the multiplication applies uniformly across the expression.

Multiplication of a Binomial by a Constant

When a binomial is multiplied by a constant, each term in the binomial is multiplied by that constant. This is an application of the distributive property, ensuring that the constant is applied to all parts of the binomial.

Sign Rules in Multiplication

Understanding how to multiply negative and positive numbers is crucial. In multiplication, the product of two negative numbers is positive, while the product of a negative and a positive number is negative. This rule is essential when distributing a negative constant across terms.

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