College Algebra

Polynomial and Rational Functions Video Review Lessons

Polynomials: Long Division
• Using Long Division with Polynomials
• Long Division: Another Example
Polynomials: Synthetic Division
• Using Synthetic Division with Polynomials
• More Synthetic Division
The Remainder Theorem
• The Remainder Theorem
• More on the Remainder Theorem
The Factor Theorem
• The Factor Theorem and Its Uses
• Factoring a Polynomial Given a Zero
The Rational Root Theorem
• Presenting the Rational Zero Theorem
• Considering Possible Solutions
Zeros of Polynomials
• Finding Polynomials Given Zeros, Degree, and One Point
• Finding all Zeros and Multiplicities of a Polynomial
• Finding the Real Zeros for a Polynomial
• Using Descartes' Rule of Signs
• Finding the Zeros of a Polynomial from Start to Finish
Graphing Polynomials
• Matching Graphs to Polynomial Functions
• Sketching the Graphs of Basic Polynomial Functions
Rational Functions
• Understanding Rational Functions
• Basic Rational Functions
Graphing Rational Functions
• Vertical Asymptotes
• Horizontal Asymptotes
• Graphing Rational Functions
• Graphing Rational Functions: More Examples