9.2: Multiplication of Polynomials
Difficulty Level: At Grade
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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binomial
binomial formula
CK.MAT.ENG.TE.1.Algebra-I.9
coefficients
Common Misconceptions
Concept Check and Troubleshooting
constant
cubic term
degree
degree of polynomials
Differentiated Instruction
distributive property
Enrichment
factoring quadratic expressions
greatest common monomial factor
Inquiry Process
leading coefficient
leading term
linear term
monomial
Pacing
perfect square trinomial
polynomials
Problem Sets
Problem Solving
quadratic term
Quizzes
Science Inquiry
simplifying polynomials
Solution Key
Solutions
square of a binomial
standard form
Teacher Edition
Teaching Strategies
Teaching Strategies and Tips
term
Testing
Tests
trinomial
Worksheets
zero-product property
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Solutions
Solution Key
Answers
(43 more)
Problem Sets
Tests
Teacher Edition
Quizzes
Assessment
Inquiry Process
Testing
Problem Solving
Concept Check and Troubleshooting
Enrichment
Teaching Strategies
Differentiated Instruction
distributive property
polynomials
standard form
factoring quadratic expressions
perfect square trinomial
greatest common monomial factor
binomial formula
trinomial
square of a binomial
binomial
simplifying polynomials
leading coefficient
leading term
monomial
linear term
quadratic term
cubic term
degree
constant
coefficients
term
zero-product property
degree of polynomials
Pacing
Common Misconceptions
Science Inquiry
Teaching Strategies and Tips
Activities
Worksheets
CK.MAT.ENG.TE.1.Algebra-I.9
Date Created:
Feb 22, 2012
Last Modified:
Aug 22, 2014
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