Module 3: Polynomial & Rational Functions
Master advanced function behavior including polynomials, rational functions, and inequalities
Your Progress
Complete all lessons, practice, and assessments to earn your Module 3 badge!
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Learning Objectives
By the end of this module, you will be able to:
- Identify key features of polynomial functions including degree, leading coefficient, and end behavior
- Find zeros of polynomial functions and understand multiplicity
- Factor polynomials using multiple methods including the Rational Root Theorem
- Analyze and graph rational functions including identifying asymptotes and holes
- Solve polynomial and rational inequalities using test intervals and sign charts
Lessons
Work through each lesson in order. Each lesson includes examples, interactive visualizations, and check-your-understanding questions.
Polynomial Functions
Explore polynomial structure, end behavior, zeros, multiplicity, and graphing techniques.
Factoring Polynomials
Master advanced factoring techniques including the Rational Root Theorem and synthetic division.
Rational Functions
Understand rational function behavior including asymptotes, holes, and graphing strategies.
Polynomial & Rational Inequalities
Learn to solve complex inequalities using test intervals, sign charts, and applications.
Assessments & Practice
Pre-Assessment
5 questions to gauge your starting knowledge
Not StartedPractice Problems
20 comprehensive problems with detailed solutions
Not StartedModule Quiz
15-question quiz (70% to pass)
Not StartedPost-Assessment
5 questions to measure your learning gains
Not StartedStudy Materials
Ready to Begin?
Start with the pre-assessment to see what you already know!