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Grade 10
Develop algebraic reasoning and number sense
7. Multiply polynomial expressions concretely, pictorially, and symbolically
7.1 What is a polynomial?
What Is a Polynomial?
A polynomial combines variables and numbers using addition, subtraction, and whole-number exponents.
What You'll Learn
A polynomial uses only addition, subtraction, and whole-number exponents on its variables.
Terms are separated by + or signs; each has a coefficient and usually an exponent.
The degree of a polynomial is its highest exponent.
Monomial (1 term), binomial (2 terms), and trinomial (3 terms) are named by term count.
Variables in a denominator, under a radical, or with negative exponents are not polynomials.
What You'll Practice
1
Determining whether expressions with various exponents are polynomials
2
Identifying polynomials with roots, fractions, and negative exponents
3
Classifying expressions as monomials, binomials, or trinomials
Why This Matters
Understanding what qualifies as a polynomial is essential for all future algebra work. You'll use polynomials throughout algebra, calculus, and beyond, so knowing how to identify and classify them correctly helps you apply the right techniques to solve equations and simplify expressions.
Before You Start — Make Sure You Can:
This Unit Includes
2 Video lessons
Practice exercises
Learning resources
Skills
Polynomials
Exponents
Monomials
Binomials
Trinomials
Classification
Algebra
MB Curriculum Aligned