ACT Math : How to multiply a monomial by a polynomial

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #2 : Variables

Multiply: 

Possible Answers:

Correct answer:

Explanation:

To solve you must multiply  by both terms in 

Example Question #3 : Variables

Multiply: 

Possible Answers:

Correct answer:

Explanation:

Multiply  by both terms in 

Example Question #1 : How To Multiply A Monomial By A Polynomial

Multiply  

Possible Answers:

None of the other answers

Correct answer:

Explanation:

When multiplying a polynomial by a monomial, each term in the polynomial gets multiplied by the monomial. Calculate each term one at a time, then add the results to get the final answer. In this case, we start by multiplying  and , thus we get . For the second term of the polynomial, we multiply  and , resulting in . Finally, we multiply  and , resulting in . Adding the three terms that we just found, we come to the answer of .

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