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 #11 : Monomials

Find the product: 

Possible Answers:

Correct answer:

Explanation:

 times  gives us , while  times 4 gives us . So it equals .

Example Question #11 : How To Multiply A Monomial By A Polynomial

Distribute:

Possible Answers:

Correct answer:

Explanation:

Be sure to distribute the  along with its coefficient.

Example Question #13 : Monomials

Simplify the following expression.

Possible Answers:

None of the other answers

Correct answer:

Explanation:

Distribute the outside term into the parentheses.

Simplify each distributed factor into one expression.

 

Example Question #11 : Monomials

Simplify the following expression.

Possible Answers:

None of the other answers.

Correct answer:

Explanation:

Distribute the outside term into the parentheses.

Simplify each distributed factor into one expression.

 

Example Question #12 : Monomials

Possible Answers:

Correct answer:

Explanation:

Example Question #13 : Monomials

Possible Answers:

Correct answer:

Explanation:

Use the distributive property to obtain each term:

 

Example Question #14 : Monomials

Possible Answers:

Correct answer:

Explanation:








Example Question #12 : How To Multiply A Monomial By A Polynomial

Multiply:

Possible Answers:

Correct answer:

Explanation:

To multiply this expression, multiply the monomial times both terms in the binomial.

First we will multiply , which represents . This is why we evalute this by multiplying and adding the exponents for x to get .

Now multiply .

Our answer is just .

Example Question #13 : Monomials

Multiply  by .

Possible Answers:

Correct answer:

Explanation:

To multiply a monomial by a polynomial, you simply multiply the monomial by each term in the polynomial. In this case that means that the solution is to multiply everything by . The answer becomes .

Example Question #20 : Monomials

Multiply:  

Possible Answers:

Correct answer:

Explanation:

When similar bases are multiplied, their powers can be added.  Distribute the monomial through the polynomial in the parentheses.

The answer is: 

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