9.2: Multiplication of Polynomials
Created by: CK-12
Learning Objectives
At the end of this lesson, students will be able to:
- Multiply a polynomial by a monomial.
- Multiply a polynomial by a binomial.
- Solve problems using multiplication of polynomials.
Vocabulary
NOT USED
Teaching Strategies and Tips
Use Example 1 to introduce polynomial multiplication beginning with monomials.
- Have students apply the product rule for exponents to each variable separately.
- Multiply the coefficients separately.
Use Examples 2 and 3 to show that the product of a monomial and any polynomial uses the distributive property.
- Show why the distributive property works by finding the area of a rectangle in two ways. See illustration preceding Example 2.
- After distributing, students use the method to multiply two monomials.
Use Examples 4 and 5 to demonstrate the product of two binomials. There are two approaches:
- In-line or horizontal multiplication. Use the distributive property as before.
- Vertical multiplication. Arrange like terms in columns. Draw the analogy to the method of multiplying two integers that students learned in grade school.
Error Troubleshooting
General Tip: Remind students to combine like terms after multiplying. Have them check their answer and make sure all like terms have been combined.
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Date Created:
Feb 22, 2012Last Modified:
Apr 29, 2014
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