Topic 0: Long Division of Polynomials
- Polynomial Division: Long division vs. Synthetic division
- Polynomial Division (lecture)
- Factoring an Expression from Calculus
Topic 1: Polynomial Functions
- Polynomial Functions (lecture – part 1)
- Polynomial Functions (lecture – part 2)
- End Behavior of Polynomial Functions
- Analyzing a polynomial function
- Intermediate Value Theorem
Interactive CDF file: (the free CDF Player is required to view these files)
Polynomial Functions of Higher Degree
Topic 2: Real Zeros of a Polynomial Function
- Real Zeros of a Polynomial Function (lecture)
- Polynomial Zeros and Multiplicity
- Finding a Polynomial Function with Given Conditions
Topic 3: Complex Numbers
Topic 4: Complex Zeros; Fundamental Theorem of Algebra
- Complex Zeros and Polynomial Functions (lecture – Ex. 1)
- Complex Zeros and Poynomial Functions (lecture – Ex. 2, 3)
Interactive CDF file: (the free CDF Player is required to view these files)
Complex Numbers and Quadratic Functions
Topic 5: Properties and Graphs of Rational Functions
- Analyzing a Rational Function (lecture)
- Analyzing a Rational Function with a Slant Asymptote (lecture)
- End Behavior of Rational Functions
- Analyzing a rational function (ex.1)
- Analyzing a rational function (ex.2)
- Analyzing a rational function (ex. 3)
- Analyzing a rational function (ex. 4)
- Analyzing a rational function – slant asymptote
- Analyzing a Rational Function – 3 more examples
- Graphing a Rational Function with H.A. using ALEKS
- Graphing a Rational Function with Slant Asymptote using ALEKS
Interactive CDF file: (the free CDF Player is required to view these files)
End Behavior of Rational Functions
Topic 6: Polynomial and Rational Inequalities
- Solving a linear inequality graphically
- Solving quadratic inequalities from a graph
- Solving an equation using the graphing calculator
- Solving Equations and Inequalities Graphically
- Solving Quadratic Inequalities (lecture)
- Solving quadratic inequalities – more examples
- Solving polynomial inequalities
- Solving rational inequalities (ex.1)
- Solving rational inequalities (ex.2)
- Solving Rational Inequalities (lecture)