Algebra 1 : How to multiply a monomial by a polynomial

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #31 : How To Multiply A Monomial By A Polynomial

Possible Answers:

Correct answer:

Explanation:

Distribute the minimal into the binomial to evaluate:

 

Example Question #32 : How To Multiply A Monomial By A Polynomial

Multiply:  

Possible Answers:

Correct answer:

Explanation:

In order to simplify this expression, we must distribute the  term among all the terms inside the parentheses.  If there are any like terms existent afterward, we will need to combine like terms.

The answer is:  

Example Question #33 : How To Multiply A Monomial By A Polynomial

Multiply:

Possible Answers:

Correct answer:

Explanation:

use the distributive property:

so

so

The answer is

Example Question #34 : How To Multiply A Monomial By A Polynomial

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Distribute the  throughout each term in the parentheses.

Simplify all terms on the right.

The answer is:  

Example Question #35 : How To Multiply A Monomial By A Polynomial

Expand the following:

Possible Answers:

 

Correct answer:

 

Explanation:

To expand this, you must distribute the 3x to each of the terms in the parenthesis. Therefore, you get the following:

Example Question #36 : How To Multiply A Monomial By A Polynomial

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Multiply by distributing the  term across each term in the parentheses.

Expand each term.  When multiplying similar bases with a power, their powers can be added.

Simplify.

The answer is:  

Example Question #37 : How To Multiply A Monomial By A Polynomial

Multiply:  

Possible Answers:

Correct answer:

Explanation:

To simplify this expression, simply distribute the monomial throughout the terms inside the polynomial.

Simplify all the terms.  When multiplying bases with a power, it is the same as adding the powers.

The answer is:  

Example Question #38 : How To Multiply A Monomial By A Polynomial

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Distribute the monomial throughout the terms of the polynomial.

Simplify these terms.  When similar bases of a particular power are multiplied, their powers can be added.

The answer is:  

Example Question #39 : How To Multiply A Monomial By A Polynomial

Multiply  with .

Possible Answers:

Correct answer:

Explanation:

Write the expression of the multiplied terms.

Distribute the monomial with each term in the polynomial.

Simplify this expression.

The answer is:  

Example Question #40 : How To Multiply A Monomial By A Polynomial

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Distribute the monomial throughout each term in the polynomial.  Be careful with sign changes.

Simplify each term.  The powers of similar bases multiplied by each other can be added.

There are no like terms.

The answer is:  

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