Chapter 5.4

Multiplying monomial by binomial

What You'll Learn

Apply the distributive property to multiply a monomial across a binomial
Multiply coefficients and add exponents when combining like bases
Recognize when variables cannot be combined due to different bases
Simplify expressions by correctly handling positive and negative signs

What You'll Practice

1

Multiplying monomials with single variables across binomials

2

Expanding expressions with multiple variables and exponents

3

Simplifying products involving negative coefficients and terms

Why This Matters

Multiplying monomials by binomials is essential for expanding and simplifying algebraic expressions. You'll use this skill constantly in factoring, solving equations, working with polynomials, and throughout algebra, precalculus, and calculus.

Before You Start — Make Sure You Can:

Exponent rulesOrder of operations with exponentsProduct rule of exponentsMultiplying monomial by monomial

This Unit Includes

2 Video lessons
Practice exercises

Skills

Distributive Property
Monomials
Binomials
Exponent Rules
Expansion
Multiplication
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