Overview
The Greatest Common Divisor (GCD) is a fundamental concept in mathematics, particularly in algebra, where it helps in simplifying expressions and solving equations. Understanding how to find the GCD of polynomials is essential for students as it builds a foundation for more advanced topics in algebr...
Key Terms
Example: 3x² + 2x - 5 is a polynomial.
Example: In 4x³ + 2x², the degree is 3.
Example: GCD of 12 and 8 is 4.
Example: Factoring x² - 9 gives (x - 3)(x + 3).
Example: Using the Euclidean algorithm, GCD(48, 18) is found to be 6.
Example: The expression (x² - 1)/(x + 1) is a rational expression.
Related Topics
Factoring Techniques
Explore various methods for factoring polynomials, which is essential for finding GCD.
intermediatePolynomial Equations
Learn how to solve polynomial equations, which often involves using GCD.
intermediateRational Functions
Study rational functions and their properties, including simplification using GCD.
intermediateAlgebraic Structures
Understand algebraic structures that involve polynomials and their operations.
advancedKey Concepts
GCD of numbersGCD of polynomialsFactoring polynomialsApplications of GCD