Table of Contents
 Chapter 1 • Functions and Inequalities

Chapter 2 • Matrices
 Types of Matrices
 Adding and Subtracting Matrices
 Matrix Operations
 Scalar Multiplication of Matrices
 Matrix Multiplication
 Properties of Matrix Multiplication
 TwobyTwo Determinants
 ThreebyThree Determinants
 Using Determinants to Calculate Areas
 Cramer’s Rule
 Inverse of a 2 × 2 Matrix
 Solving a System of Two Equations Using a Matrix Inverse

Chapter 3 • Polynomials and Polynomial Functions
 Introduction to Complex Numbers
 Pure Imaginary Numbers
 Equating, Adding, and Subtracting Complex Numbers
 Complex Number Conjugates
 Multiplying Complex Numbers
 Simplifying Expressions: Rules of Exponents
 Solving Quadratic Equations: Quadratic Formula
 Discriminants of Quadratics
 Identifying Polynomials
 Simplifying Expressions: Combining Like Terms
 Dividing Polynomials by Monomials
 Polynomial Long Division without Remainder
 Graphs of Polynomial Functions
 Polynomial Functions
 Degree and Coefficient of Polynomials
 Polynomial Equations
 Polynomial Long Division with Remainder
 Remainder and Factor Theorem with Synthetic Division
 Solving Quadratic Equations with Complex Roots
 Real and Complex Roots of Polynomials
 Descartes’ Rule of Signs
 Forming a Quadratic Equation from its Roots

Chapter 4 • Inverses and Radical Functions and Relations
 Combining Functions
 Composite Functions
 Graphs of Inverses of Functions
 Inverse of a Function
 Radical Functions
 Simplifying Radicals
 Approximating Radicals
 Adding and Subtracting Radical Expressions
 Rationalizing Denominators of Radicals
 Squares of Numbers
 Cubes of Numbers
 Fractional Exponents
 Radical Equations