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Grade 10
Develop algebraic reasoning and number sense
7. Multiply polynomial expressions concretely, pictorially, and symbolically
7.4 Multiplying monomial by binomial
Multiplying a Monomial by a Binomial
Use the distributive property to multiply a single term across both terms of a binomial.
What You'll Learn
A monomial is one term; a binomial is two terms joined by plus or minus.
The distributive property says a(b + c) equals ab + ac.
Multiply the monomial by each term in the binomial, then add the products.
When bases match, multiplying adds their exponents: x times x equals x squared.
A binomial's minus sign travels with its second term into the product.
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:
This Unit Includes
2 Video lessons
Practice exercises
Learning resources
Skills
Distributive Property
Monomials
Binomials
Exponent Rules
Expansion
Multiplication
MB Curriculum Aligned