Multiplying a Polynomial by a Monomial
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Lesson Summary:
In this lesson, we learn how to multiply a polynomial by a monomial using the distributive property and the rules of exponents. The key concept is to distribute the monomial to each term of the polynomial, just like finding the area of a rectangle. We also see how to solve equations by combining like terms, distributing, and getting the variable on one side. Finally, we explore using algebra tiles to visualize the multiplication of polynomials by monomials. Overall, this lesson lays the foundation for future lessons on multiplying polynomials by each other.
Lesson Description:
How to multiply a polynomial by a monomial using the distributive property and the rules of exponents.
Additional Resources:
- Multiplying HW - Multiplying a polynomial by a monomial homework with answers.
- Lesson Slides - Slides that are written on from the lesson.
Questions answered by this video:
- How do you multiply a polynomial by a monomial?
- How do you multiply polynomials?
- How do you distribute with polynomials?
- How do you solve polynomial equations?
- How do you multiply polynomials with Algebra tiles?
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Staff Review
This lesson gives a quick overview of how multiplying a monomial by a polynomial works. If multiplying is where polynomials trip you up, check out this video first to get a firm foundation in multiplying monomials. A good homework assignment is included as well.
