Overview
Polynomial factorization is a fundamental concept in algebra that allows us to break down complex expressions into simpler components. This process is essential for solving polynomial equations, analyzing graphs, and understanding the behavior of functions. By mastering various factoring techniques,...
Key Terms
Example: 3x² + 2x - 5
Example: Factoring x² - 9 gives (x - 3)(x + 3)
Example: 2x² + 3x + 1
Example: The roots of x² - 4 are x = 2 and x = -2.
Example: Using synthetic division to divide 2x³ + 3x² - 5 by x - 1.
Example: For x³ - 2x² + x - 2, possible rational roots are ±1, ±2.
Related Topics
Algebraic Expressions
Study of mathematical phrases that can include numbers, variables, and operations.
beginnerGraphing Polynomials
Understanding how to graph polynomial functions and their behaviors.
intermediateSystems of Equations
Exploring methods to solve multiple equations simultaneously.
intermediateInequalities
Learning how to solve and graph inequalities involving polynomials.
intermediateKey Concepts
Factoring TechniquesRoots and ZerosQuadratic PolynomialsSynthetic Division