Precalculus: Polynomial Functions and Inequalities

Navigating the complexities of precalculus can feel overwhelming, especially when encountering polynomial functions and rational inequalities for the first time. This course provides a clear, step-by-step pathway to mastering these essential algebraic concepts, equipping you with the analytical skills needed for success in higher mathematics. This course will guide you through the fundamental principles and practical applications of these core mathematical topics. What you'll learn: * Understand the core definitions and characteristics of polynomial functions * Analyze polynomial behavior, including identifying zeros, factors, and end behavior * Master algebraic techniques for solving polynomial equations and inequalities * Learn to graph rational functions, accurately identifying asymptotes and intercepts * Apply systematic sign analysis methods to solve complex rational inequalities * Practice translating between algebraic expressions and graphical representations of functions The course progresses logically from basic definitions and properties to advanced problem-solving techniques for both polynomial and rational expressions, building your confidence incrementally. This course is designed for absolute beginners with no prior knowledge of precalculus, or anyone seeking to reinforce their foundational understanding of algebra. Begin your journey to mathematical proficiency today.