Chapter 1
Linear Equations and Graphing
Course: Gre
Subject: Gre Quantitative Reasoning
Chapter: Advanced Algebra And Systems Of Equations
Introduction: The Essential Building Block
Multiplying binomials is a foundational skill in algebra. This operation appears repeatedly when working with quadratic equations, factoring polynomials, and simplifying expressions. Mastering this skill opens doors to more advanced mathematical concepts.
Unlike putting on pants—where there is one clearly best method—multiplying binomials has several valid approaches. Different methods suit different learning styles and problem types. This lesson explores the most common techniques.
What Is a Binomial?
A binomial is an algebraic expression containing exactly two terms connected by addition or subtraction.
Examples of Binomials
- x + 6
- 2x - 5
- 3y + 7
- a² - b
Terms vs. Polynomials
| Term Type | Number of Terms | Example | | Monomial | 1 | 5x | | Binomial | 2 | x + 6 | | Trinomial | 3 | x² + 5x + 3 | | Polynomial | 4 or more | x³ + 2x² - x + 7 |