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Algebra basics (ASL)

Course: Algebra basics (ASL) > Unit 7

Lesson 2: Multiplying binomials (ASL)
Math
Algebra basics (ASL)
Quadratics and polynomials (ASL)
Multiplying binomials (ASL)
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Multiplying monomials by polynomials review

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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.

Example

Simplify.
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.

Practice

Problem 1
  • Current
Simplify.
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.