SAT Math : How to multiply a monomial by a polynomial

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #1 : Variables

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Distribute the monomial through the polynomial.

The answer is: 

Example Question #2 : Variables

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

Distribute the monomial through each term inside the parentheses.

Example Question #3 : Variables

Multiply the monomials:  

Possible Answers:

Correct answer:

Explanation:

In order to multiply this, we can simply multiply the coefficients together and the  variables together.  Anytime we multiply a variable of the same base, we can add the exponents.

Simplify the right side.

The answer is:  

Example Question #1 : Variables

Distribute: 

Possible Answers:

Correct answer:

Explanation:

Distribute the monomial to each part of the polynomial, paying careful attention to signs:

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