**Copyright:** The following courseware includes resources copyrighted and openly licensed by third parties under a Creative Commons Attribution 4.0 License. Click "Licenses and Attributions" at the bottom of each page for copyright information and license specific to the material on that page. If you believe that this courseware violates your copyright, please contact us.

Course Contents

Divide Polynomials

Course Contents at a Glance

Methods for Finding Zeros of Polynomials

Module 1: Algebra Essentials

Putting It Together: Power and Polynomial Functions

Why It Matters: Algebra Essentials

Module 10: Rational and Radical Functions

Real Numbers

Why It Matters: Rational And Radical Functions

Exponents and Scientific Notation

Rational Functions

Radicals and Rational Exponents

Radical Functions

Putting It Together: Algebra Essentials

Variation

Module 2: Polynomial and Rational Expressions

Putting It Together: Rational and Radical Functions

Why It Matters: Polynomial and Rational Expressions

Module 11: Exponential and Logarithmic Functions

Polynomial Basics

Why It Matters: Exponential and Logarithmic Functions

Factoring Polynomials

Exponential Functions

Rational Expressions

Graphs of Exponential Functions

Putting It Together: Polynomial and Rational Expressions

Logarithmic Functions

Module 3: The Rectangular Coordinate System and Equations of Lines

Graphs of Logarithmic Functions

Why It Matters: The Rectangular Coordinate System and Equations of Lines

Putting It Together: Exponential and Logarithmic Functions

Points and Lines in the Plane

Module 12: Exponential and Logarithmic Equations and Models

Equations of Lines

Why It Matters: Exponential and Logarithmic Equations and Models

Putting It Together: The Rectangular Coordinate System and Equations of Lines

Logarithmic Properties

Module 4: Equations and Inequalities

Exponential and Logarithmic Equations

Why It Matters: Equations and Inequalities

Exponential and Logarithmic Models

Equation-Solving Techniques

Putting It Together: Exponential and Logarithmic Equations and Models

Models and Applications

Module 13: Systems of Equations and Inequalities

Quadratic Equations

Why It Matters: Systems of Equations and Inequalities

Linear Inequalities and Absolute Value Inequalities

Systems of Linear Equations: Two Variables

Putting It Together: Equations and Inequalities

Systems of Nonlinear Equations and Inequalities

Module 5: Function Basics

Systems of Linear Equations: Three Variables

Why It Matters: Function Basics

Partial Fractions: an Application of Systems

Characteristics of Functions and Their Graphs

Putting It Together: Systems of Equations and Inequalities

Domain and Range of Functions

Module 14: Solve Systems With Matrices

Rates of Change and Behavior of Graphs

Why It Matters: Solve Systems with Matrices

Putting It Together: Function Basics

Matrices and Matrix Operations

Module 6: Algebraic Operations on Functions

Gaussian Elimination

Why It Matters: Algebraic Operations On Functions

Solve Systems with Inverses

Compositions of Functions

Putting It Together: Solve Systems with Matrices

Transformations of Functions

Module 15: Conic Sections

Putting It Together: Algebraic Operations on Functions

Why It Matters: Conic Sections

Inverse Functions

The Ellipse

Module 7: Linear and Absolute Value Functions

The Hyperbola

Why It Matters: Linear and Absolute Value Functions

The Parabola

Linear Functions

Putting It Together: Conic Sections

Graphs of Linear Functions

Module 16: Sequences and Series

Modeling With Linear Functions

Why It Matters: Sequences and Series

Putting It Together: Linear and Absolute Value Functions

Sequences and Their Notations

Module 8: Quadratic Functions

Arithmetic Sequences

Why It Matters: Quadratic Functions

Geometric Sequences

Complex Numbers

Series and Their Notations

Graphs of Quadratic Functions

Putting It Together: Sequences and Series

Analysis of Quadratic Functions

Module 17: Probability and Counting Principles

Putting It Together: Quadratic Functions

Why It Matters: Probability and Counting Principles

Module 9: Power and Polynomial Functions

Counting Principles

Why It Matters: Power and Polynomial Functions

Probability

Characteristics of Power and Polynomial Functions

Putting It Together: Probability and Counting Principles

Graphs of Polynomial Functions