PSAT Math : How to multiply a monomial by a polynomial

Study concepts, example questions & explanations for PSAT Math

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Example Questions

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

If you have a rectangle with a width of  and a length of , what is the area of the rectangle?

Possible Answers:

Correct answer:

Explanation:

To find the area of a rectangle, multiply the length times the width.  Therefore, you must multiply  times .  To do that, you must multiply the monomial times each part of the trinomial, like so:

 

Example Question #2 : How To Multiply A Monomial By A Polynomial

Find the product:

Possible Answers:

Correct answer:

Explanation:

Use the distributive property:

Simplify: don't forget to use the rules of multiplying exponents (add them)

Example Question #3 : How To Multiply A Monomial By A Polynomial

Find the product:

Possible Answers:

Correct answer:

Explanation:

Find the product:

Use the distributive property:

When multiplying variables with exponents, add the exponents:

Example Question #4 : How To Multiply A Monomial By A Polynomial

Find the product:

Possible Answers:

Correct answer:

Explanation:

Find the product:

Use the distributive property:

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