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Mathematics III
6. CA.M3.A.APR.1
6.3 Multiplying polynomials by monomials
Multiplying Polynomial by Monomial
Distribute the monomial to every term of the polynomial, multiplying coefficients and adding exponents.
What You'll Learn
Multiplying a polynomial by a monomial uses the distributive property.
Multiply the monomial by each term of the polynomial one at a time.
Multiply coefficients together and add exponents of matching variables.
Watch the sign of each term, especially when a term inside is negative.
This skill extends directly to multiplying two full polynomials together.
What You'll Practice
1
Multiplying single-term expressions by binomials and trinomials
2
Using area models to set up and solve multiplication problems
3
Working with decimal coefficients and mixed variable terms
4
Solving word problems involving rectangular areas and dimensions
Why This Matters
Multiplying polynomials by monomials is essential for simplifying algebraic expressions, solving equations, and understanding area calculations. This skill forms the foundation for factoring, working with quadratic functions, and tackling real-world problems in physics and engineering.
Before You Start — Make Sure You Can:
This Unit Includes
10 Video lessons
Practice exercises
Learning resources
Skills
Polynomials
Monomials
Distributive Property
Area Model
Algebraic Multiplication
Simplifying Expressions
Variables
CA Curriculum Aligned