Chapter 2 Videos

Chapter 2 Polynomial and Rational Functions

Section 2.1 Quadratic Functions

• Video: Graph a Quadratic Function

• Video: Write the Equation of a Parabola

• Video: Finding a Parabolic Equation Given Its Vertex and a Point

• Video: Applications Problems- Solving Minimum and Maximum Problems

 Section 2.2 Polynomial Functions of Higher Degree

• Video: Characteristics of Higher Degree Polynomials

• Video: Determine Right-Hand and Left-Hand Behavior of Functions

• Video: Find the Zeros of a Polynomial Equation

• Video: Find a Polynomial with Given Zeros

• Video: Sketching the Graph of a Polynomial Function

• Video: Use the Intermediate Value Theorem to Help Locate Zeros of Polynomial Functions 

Section 2.3 Real Zeros of Polynomial Functions

• Video: Divide Polynomials Using Long Division

• Video: Use Synthetic Division to Factor Polynomials

• Video: Apply the Remainder Theorem

• Video: Apply the Factor Theorem

• Video: Apply the Rational Zeros Theorem

• Video: Apply Descartes Rule of Signs

• Video: Apply the Upper- and Lower-Bound Theorems 

Section 2.4 Complex Numbers

• Video: Use the Imaginary Unit i to Write Complex Numbers

• Video: Add and Subtract Complex Numbers

• Video: Multiply Complex Numbers

• Video: Complex Conjugates

• Video: Divide Complex Numbers

• Video: Plot Complex Numbers in the Complex Plane 

Section 2.5 The Fundamental Theorem of Algebra

• Video: Apply the Fundamental Theorem of Algebra

• Video: Apply the Factorization Theorem

• Video: Finding Complex Zeros of a Polynomial Function

• Video: Find Conjugate Pairs of Complex Zeros

• Video: Find All Zeros of a Cubic by Factoring Given a Complex Zero - Part A

• Video: Find All Zeros of a Cubic by Factoring Given a Complex Zero - Part B 

Section 2.6 Rational Functions and Asymptotes

• Video: Introduction to Asymptotes

• Video: Determine Asymptotes of Rational Equations

• Video: Application Problems- Graphing Rational Equations 

Section 2.7 Graphs of Rational Functions

• Video: Use Asymptotes to Graph Rational Equations

• Video: Sketch Graphs of Rational Functions That Have Slant Asymptotes 

Section 2.8 Quadratic Models

• Video: Determine the Function Type That Will Best Model Data

• Video: Choosing between a Linear and a Quadratic Regression