Algebra & Trigonometry, 4th edition
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Overview
Hallmark features of this title
 The updated Interactive eTextbook adapts to devices and is easier to navigate. It has 800+ new highdefinition videos that are playable within the eTextbook, and incorporates hundreds of workedout examples and interactive figures.
 The Guided Notebook has been updated to better engage the student and follows the new version of the eTextbook. (Editable version included)
 New autoscored Geogebra Sketching Exercises allow students to sketch graphs like they would by hand.
 Corequisite resources are now built in, with expanded review content in Chapter R and diagnostic assessments of prerequisite skills that can be personalized for student needs.
Published by Pearson (April 25th 2025)  Copyright © 2023
ISBN13: 9780138062798
Subject: Precalculus, College Algebra & Trigonometry
Category: Algebra & Trigonometry
Table of contents
R. Review Chapter
 R.1 Real Numbers
 R.2 A Review of Fractions and the Order of Operations
 R.3 The Properties of Integer Exponents
 R.4 Radicals and Rational Exponents
 R.5 Polynomials
 R.6 Operations with Radicals
 R.7 Factoring Polynomials
 R.8 Rational Expressions
 R.9 The Addition and Multiplication Properties of Equality
 Chapter Summary
1. Equations, Inequalities, and Applications
 1.1 Linear and Rational Equations
 1.2 Applications of Linear Equations and Rational Equations
 1.3 Complex Numbers
 1.4 Quadratic Equations
 1.5 Applications of Quadratic Equations
 1.6 Other Types of Equations
 1.7 Linear Inequalities in One Variable
 1.8 Absolute Value Equations and Inequalities
 1.9 Polynomial and Rational Inequalities
 Chapter Summary
2. The Rectangular Coordinate System, Lines, and Circles
 2.1 The Rectangular Coordinate System
 2.2 Circles
 2.3 Lines
 2.4 Parallel and Perpendicular Lines
 Chapter Summary
3. Functions
 3.1 Relations and Functions
 3.2 Properties of a Function's Graph
 3.3 Graphs of Basic Functions; Piecewise Functions
 3.4 Transformations of Functions
 3.5 The Algebra of Functions; Composite Functions
 3.6 OnetoOne Functions; Inverse Functions
 Chapter Summary
4. Polynomial and Rational Functions
 4.1 Quadratic Functions
 4.2 Applications and Modeling of Quadratic Functions
 4.3 The Graphs of Polynomial Functions
 4.4 Synthetic Division; The Remainder and Factor Theorems
 4.5 The Zeros of Polynomial Functions; The Fundamental Theorem of Algebra
 4.6 Rational Functions and Their Graphs
 4.7 Variation
 Chapter Summary
5. Exponential and Logarithmic Functions and Equations
 5.1 Exponential Functions
 5.2 Logarithmic Functions
 5.3 Properties of Logarithms
 5.4 Exponential and Logarithmic Equations
 5.5 Applications of Exponential and Logarithmic Functions
 Chapter Summary
6. An Introduction to Trigonometric Functions
 6.1 An Introduction to Angles: Degree and Radian Measure
 6.2 Applications of Radian Measure
 6.3 Triangles
 6.4 Right Triangle Trigonometry
 6.5 Trigonometric Functions of General Angles
 6.6 The Unit Circle
 Chapter Summary
7. The Graphs of Trigonometric Functions
 7.1 The Graphs of Sine and Cosine
 7.2 More on Graphs of Sine and Cosine; Phase Shift
 7.3 The Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
 7.4 Inverse Trigonometric Functions I
 7.5 Inverse Trigonometric Functions II
 Chapter Summary
8. Trigonometric Identities, Formulas, and Equations
 8.1 Trigonometric Identities
 8.2 The Sum and Difference Formulas
 8.3 The DoubleAngle and HalfAngle Formulas
 8.4 The ProducttoSum and SumtoProduct Formulas
 8.5 Trigonometric Equations
 Chapter Summary
9. Applications of Trigonometry
 9.1 Right Triangle Applications
 9.2 The Law of Sines
 9.3 The Law of Cosines
 9.4 Area of Triangles
 Chapter Summary
10. Polar Equations, Complex Numbers, and Vectors
 10.1 Polar Coordinates and Polar Equations
 10.2 Graphing Polar Equations
 10.3 Complex Numbers in Polar Form; DeMoivre’s Theorem
 10.4 Vectors
 10.5 The Dot Product
 Chapter Summary
11. Conic Sections and Parametric Equations
 Introduction to Conic Sections
 11.1 The Parabola
 11.2 The Ellipse
 11.3 The Hyperbola
 11.4 Conic Sections in Polar Form
 11.5 Parametric Equations
 Chapter Summary
12. Systems of Equations and Inequalities
 12.1 Solving Systems of Linear Equations in Two Variables
 12.2 Solving Systems of Linear Equations in Three Variables Using the Elimination Method
 12.3 Solving Systems of Linear Equations in Three Variables Using Gaussian Elimination and GaussJordan Elimination
 12.4 Partial Fraction Decomposition
 12.5 Systems of Nonlinear Equations
 12.6 Systems of Inequalities
 Chapter Summary
13. Matrices
 13.1 Matrix Operations
 13.2 Inverses of Matrices and Matrix Equations
 13.3 Determinants and Cramer's Rule
 Chapter Summary
14. Sequences and Series; Counting and Probability
 14.1 Introduction to Sequences and Series
 14.2 Arithmetic Sequences and Series
 14.3 Geometric Sequences and Series
 14.4 The Binomial Theorem
 14.5 Mathematical Induction
 14.6 The Theory of Counting
 14.7 An Introduction to Probability
 Chapter Summary
Appendices
 A: Degree, Minute, A Second Form and Degree Decimal Form
 B: Conic Section Proofs
 B.1 Parabola Proofs
 B.2 Ellipse Proofs
 B.3 Hyperbola Proofs
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