CHAPTER 3

The links below will take you to videos and exercises relating to the content in

CHAPTER 3: POLYNOMIAL FUNCTIONS

3.1 COMPLEX NUMBERS

Introduction to i and Imaginary Numbers (KhanAcademy)

Simplifying Negative Square Roots - Ex 1 (houstonmathprep)

Simplifying Negative Square Roots - Ex 2 (houstonmathprep)

Simplifying Negative Square Roots - Ex 3 (houstonmathprep)

Simplifying Negative Square Roots - Ex 4 (houstonmathprep)

Products & Quotients with Negative Roots - Ex 1 (houstonmathprep)

Products & Quotients with Negative Roots - Ex 2 (houstonmathprep)

Products & Quotients with Negative Roots - Ex 3 (houstonmathprep)

Products & Quotients with Negative Roots - Ex 4 (houstonmathprep)

Adding and Subtracting Complex (Imaginary) Numbers (PatrickJMT)

Complex Numbers: Multiplying and Dividing (PatrickJMT)

3.2 QUADRATIC FUNCTIONS AND GRAPHS

Completing the Square (MrsQuesnelle)

Completing the Square - Solving Quadratic Equations (PatrickJMT)

Completing the Square, Example 2 (PatrickJMT)

Graphing Quadratic Functions (PatrickJMT)

The Vertex Formula (waszel)

Using a Calculator to Find Extreme Points and Values (waszel)

Quadratic Word Problem (Projectiles) (kisker87)

3.3 QUADRATIC EQUATIONS AND INEQUALITIES

Using Zero Product Property (mathlablady2)

Solve Quadratic Equations Using the Square Roots, Ex 1 (farinellac)

Solve Quadratic Equations Using the Square Roots, Ex 2 (farinellac)

Solving Quadratic Equations Using the Quadratic Formula, Ex 1 (PatrickJMT)

Solving Quadratic Equations Using the Quadratic Formula, Ex 2 (PatrickJMT)

Solving Quadratic Equations Using the Quadratic Formula, Ex 3 (PatrickJMT)

The Discriminant (waszel)

Quadratic Inequalities (waszel)

3.4 FURTHER APPLICATIONS OF QUADRATIC FUNCTIONS AND MODELS

Solve a Geometry Word Problem Using Quadratic Equations - Ex 1 (PatrickJMT)

Solve a Geometry Word Problem Using Quadratic Equations - Ex 3 (PatrickJMT)

More Word Problems Using Quadratic Equations - Ex 1 (PatrickJMT)

More Word Problems Using Quadratic Equations - Ex 2 (PatrickJMT)

Solving a Projectile Problem Using Quadratics - Ex 1 (PatrickJMT)

Solving a Projectile Problem Using Quadratics - Ex 2 (PatrickJMT)

Quadratic Regression on a Calculator - Example 1 (bullcleo1)

3.5 HIGHER-DEGREE POLYNOMIAL FUNCTIONS AND GRAPHS

Absolute and Local Extrema (waszel)

Absolute and Local Maximum and Minimum from a Graph (PatrickJMT)

Using a Calculator to Find Extreme Points and Values (waszel)

End Behavior of a Polynomial Function (waszel)

Leading Coefficients and Turning Points (codytabbert)

What is a Zero of a Function? (waszel)

3.6 TOPICS IN THE THEORY OF POLYNOMIAL FUNCTIONS (I)

Intermediate Value Theorem (PatrickJMT)

Dividing Polynomials (Long Division) (ProfKeester)

Synthetic Division (waszel)

Synthetic Division (PatrickJMT)

Synthetic Division - Example 2 (PatrickJMT)

Remainder Theorem and Factor Theorem (waszel)

3.7 TOPICS IN THE THEORY OF POLYNOMIAL FUNCTIONS (II)

Complex Zeros of a Polynomial (waszel)

Fundamental Theorem of Algebra and Application (mrgibsonrhs)

Finding the Formula for a Polynomial (PatrickJMT)

Graphs with Zeros and Multiplicities (codytabbert)

Rational Zero Theorem (ProfKeester)

Descartes Rule of Signs (ProfKeester)

Descartes' Rule of Signs (PatrickJMT)