If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Multiplying monomials by polynomials review

We use the distributive property to multiply monomials by polynomials. For example, 2x(3x+7) = 6x^2+14x. This article provides a brief review of the topic and gives you a couple of practice problems to try on your own.
In order to multiply monomials like 6, z, squared by polynomials like 7, z, squared, plus, 3, z, minus, 2, we need to apply the distributive property.


Express your answer as a trinomial.
6, z, squared, left parenthesis, 7, z, squared, plus, 3, z, minus, 2, right parenthesis
This is a distributive property problem. How can we distribute start color #6495ed, 6, z, squared, end color #6495ed to each term inside of the parentheses?
This product is equal to 42, z, start superscript, 4, end superscript, plus, 18, z, cubed, minus, 12, z, squared.
Want to learn more about multiplying monomials by polynomials? Check out this video.


Problem 1
  • Current
Express your answer as a trinomial.
minus, n, squared, left parenthesis, n, squared, plus, 5, n, plus, 6, right parenthesis

Want more practice? Check out this exercise.