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دانلود کتاب Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry

دانلود کتاب پیش حساب: مفاهیم از طریق توابع، رویکرد مثلث قائم الزاویه به مثلثات

Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry

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Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry

ویرایش: 5 
نویسندگان:   
سری:  
ISBN (شابک) : 0137978081, 9780137978083 
ناشر: Pearson 
سال نشر: 2023 
تعداد صفحات: 1274 
زبان: English 
فرمت فایل : PDF (درصورت درخواست کاربر به PDF، EPUB یا AZW3 تبدیل می شود) 
حجم فایل: 77 مگابایت 

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توجه داشته باشید کتاب پیش حساب: مفاهیم از طریق توابع، رویکرد مثلث قائم الزاویه به مثلثات نسخه زبان اصلی می باشد و کتاب ترجمه شده به فارسی نمی باشد. وبسایت اینترنشنال لایبرری ارائه دهنده کتاب های زبان اصلی می باشد و هیچ گونه کتاب ترجمه شده یا نوشته شده به فارسی را ارائه نمی دهد.


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فهرست مطالب

Cover
Title Page
Copyright Page
Dedication
Contents
To the Student
The Concepts Through Functions Series
Preface to the Instructor
Pearson’s Commitment to Diversity, Equity, and Inclusion
Acknowledgments
Applications Index
F Foundations: A Prelude to Functions
	F.1 The Distance and Midpoint Formulas
		Use the Distance Formula
		Use the Midpoint Formula
	F.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
		Graph Equations by Plotting Points
		Find Intercepts from a Graph
		Find Intercepts from an Equation
		Test an Equation for Symmetry with Respect to the x-Axis, the y-Axis, and the Origin
		Know How to Graph Key Equations
	F.3 Lines
		Calculate and Interpret the Slope of a Line
		Graph Lines Given a Point and the Slope
		Find the Equation of a Vertical Line
		Use the Point–Slope Form of a Line Identify Horizontal Lines
		Use the Slope-Intercept Form of a Line
		Find the Equation of a Line Given Two Points
		Graph Lines Written in General Form Using Intercepts
		Find Equations of Parallel Lines
		Find Equations of Perpendicular Lines
	F.4 Circles
		Write the Standard Form of the Equation of a Circle
		Graph a Circle
		Work with the General Form of the Equation of a Circle
	Chapter Project
1 Functions and Their Graphs
	1.1 Functions
		Describe a Relation
		Determine Whether a Relation Represents a Function
		Use Function Notation Find the Value of a Function
		Find the Difference Quotient of a Function
		Find the Domain of a Function Defined by an Equation
		Form the Sum, Difference, Product, and Quotient of Two Functions
	1.2 The Graph of a Function
		Identify the Graph of a Function
		Obtain Information from or about the Graph of a Function
	1.3 Properties of Functions
		Identify Even and Odd Functions from a Graph
		Identify Even and Odd Functions from an Equation
		Use a Graph to Determine Where a Function Is Increasing, Decreasing, or Constant
		Use a Graph to Locate Local Maxima and Local Minima
		Use a Graph to Locate the Absolute Maximum and the Absolute Minimum
		Use a Graphing Utility to Approximate Local Maxima and Local Minima and to Determine Where a Function Is Increasing or Decreasing
		Find the Average Rate of Change of a Function
	1.4 Library of Functions; Piecewise-defined Functions
		Graph the Functions Listed in the Library of Functions
		Analyze a Piecewise-defined Function
	1.5 Graphing Techniques: Transformations
		Graph Functions Using Vertical and Horizontal Shifts
		Graph Functions Using Compressions and Stretches
		Graph Functions Using Reflections About the x-Axis and the y-Axis
	1.6 Building Mathematical Models from Verbal Descriptions
		Build and Analyze Functions
	1.7 Building Mathematical Models Using Variation
		Construct a Model Using Direct Variation
		Construct a Model Using Inverse Variation
		Construct a Model Using Joint Variation or Combined Variation
	Chapter Review
	Chapter Test
	Chapter Projects
2 Linear and Quadratic Functions
	2.1 Properties of Linear Functions and Linear Models
		Graph Linear Functions
		Use Average Rate of Change to Identify Linear Functions
		Determine Whether a Linear Function Is Increasing, Decreasing, or Constant
		Find the Zero of a Linear Function
		Build Linear Models from Verbal Descriptions
	2.2 Building Linear Models from Data
		Draw and Interpret Scatter Plots
		Distinguish Between Linear and Nonlinear Relations
		Use a Graphing Utility to Find the Line of Best Fit
	2.3 Quadratic Functions and Their Zeros
		Find the Zeros of a Quadratic Function by Factoring
		Find the Zeros of a Quadratic Function Using the Square Root Method
		Find the Zeros of a Quadratic Function by Completing the Square
		Find the Zeros of a Quadratic Function Using the Quadratic Formula
		Find the Point of Intersection of Two Functions
		Solve Equations That Are Quadratic in Form
	2.4 Properties of Quadratic Functions
		Graph a Quadratic Function Using Transformations
		Identify the Vertex and Axis of Symmetry of a Parabola
		Graph a Quadratic Function Using Its Vertex, Axis, and Intercepts
		Find a Quadratic Function Given Its Vertex and One Other Point
		Find the Maximum or Minimum Value of a Quadratic Function
	2.5 Inequalities Involving Quadratic Functions
		Solve Inequalities Involving a Quadratic Function
	2.6 Building Quadratic Models from Verbal Descriptions and from Data
		Build Quadratic Models from Verbal Descriptions
		Build Quadratic Models from Data
	2.7 Complex Zeros of a Quadratic Function
		Find the Complex Zeros of a Quadratic Function
	2.8 Equations and Inequalities Involving the Absolute Value Function
		Solve Absolute Value Equations
		Solve Absolute Value Inequalities
	Chapter Test
	Cumulative Review
	Chapter Projects
3 Polynomial andRational Functions
	3.1 Polynomial Functions
		Identify Polynomial Functions and Their Degree
		Graph Polynomial Functions Using Transformations
		Identify the Real Zeros of a Polynomial Function and Their Multiplicity
	3.2 Graphing Polynomial Functions; Models
		Graph a Polynomial Function
		Graph a Polynomial Function Using a Graphing Utility
		Build Cubic Models from Data
	3.3 The Real Zeros of a Polynomial Function
		Use the Remainder and Factor Theorems
		Use Descartes’ Rule of Signs to Determine the Number of Positive and the Number of Negative Real Zeros of a Polynomial Function
		Use the Rational Zeros Theorem to List the Potential Rational Zeros of a Polynomial Function
		Find the Real Zeros of a Polynomial Function
		Solve Polynomial Equations
		Use the Theorem for Bounds on Zeros
		Use the Intermediate Value Theorem
	3.4 Complex Zeros; Fundamental Theorem of Algebra
		Use the Conjugate Pairs Theorem
		Find a Polynomial Function with Specified Zeros
		Find the Complex Zeros of a Polynomial Function
	3.5 Properties of Rational Functions
		Find the Domain of a Rational Function
		Find the Vertical Asymptotes of a Rational Function
		Find a Horizontal or an Oblique Asymptote of a Rational Function
	3.6 The Graph of a Rational Function
		Graph a Rational Function
		Solve Applied Problems Involving Rational Functions
	3.7 Polynomial and Rational Inequalities
		Solve Polynomial Inequalities
		Solve Rational Inequalities
	Chapter Review
	Chapter Test
	Cumulative Review
	Chapter Projects
4 Exponential and Logarithmic Functions
	4.1 Composite Functions
		Form a Composite Function
		Find the Domain of a Composite Function
	4.2 One-to-One Functions; Inverse Functions
		Determine Whether a Function Is One-to-One
		Determine the Inverse of a Function Defined by a Mapping or a Set of Ordered Pairs
		Obtain the Graph of the Inverse Function from the Graph of a One-to-One Function
		Verify that a Function Defined by an Equation Is an Inverse Function
		Find the Inverse of a Function Defined by an Equation
	4.3 Exponential Functions
		Evaluate Exponential Functions
		Graph Exponential Functions
		Define the Number e
		Solve Exponential Equations
	4.4 Logarithmic Functions
		Change Exponential Statements to Logarithmic Statements and Logarithmic Statements to Exponential Statements
		Evaluate Logarithmic Expressions
		Determine the Domain of a Logarithmic Function
		Graph Logarithmic Functions
		Solve Logarithmic Equations
	4.5 Properties of Logarithms
		Work with the Properties of Logarithms
		Write a Logarithmic Expression as a Sum or Difference of Logarithms
		Write a Logarithmic Expression as a Single Logarithm
		Evaluate Logarithms Whose Base Is Neither 10 Nor e
		Graph a Logarithmic Function Whose Base Is Neither 10 Nor e
	4.6 Logarithmic and Exponential Equations
		Solve Logarithmic Equations
		Solve Exponential Equations
		Solve Logarithmic and Exponential Equations Using a Graphing Utility
	4.7 Financial Models
		Determine the Future Value of a Lump Sum of Money
		Calculate Effective Rates of Return
		Determine the Present Value of a Lump Sum of Money
		Determine the Rate of Interest or the Time Required to Double a Lump Sum of Money
	4.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models
		Model Populations That Obey the Law of Uninhibited Growth
		Model Populations That Obey the Law of Uninhibited Decay
		Use Newton’s Law of Cooling
		Use Logistic Models
	4.9 Building Exponential, Logarithmic, and Logistic Models from Data
		Build an Exponential Model from Data
		Build a Logarithmic Model from Data
		Build a Logistic Model from Data
	Chapter Review
	Chapter Test
	Cumulative Review
	Chapter Projects
5 Trigonometric Functions
	5.1 Angles, Arc Length, and Circular Motion
		Angles and Degree Measure
		Convert Between Decimal and Degree, Minute, Second Measures for Angles
		Find the Length of an Arc of a Circle
		Convert from Degrees to Radians and from Radians to Degrees
		Find the Area of a Sector of a Circle
		Find the Linear Speed of an Object Traveling in Circular Motion
	5.2 Right Triangle Trigonometry
		Find the Values of Trigonometric Functions of Acute Angles
		Use Fundamental Identities
		Find the Values of the Remaining Trigonometric Functions, Given the Value of One of Them
		Use the Complementary Angle Theorem
	5.3 Computing the Values of TrigonometricFunctions of Acute Angles
		Find the Exact Values of the Trigonometric Functions of π/4 = 45°
		Find the Exact Values of the Trigonometric Functions of π/6 = 30° and π/3 = 60°
		Use a Calculator to Approximate the Values of the Trigonometric Functions of Acute Angles
		Model and Solve Applied Problems Involving Right Triangles
	5.4 Trigonometric Functions of Any Angle
		Find the Exact Values of the Trigonometric Functions for Any Angle
		Use Coterminal Angles to Find the Exact Value of a Trigonometric Function
		Determine the Signs of the Trigonometric Functions of an Angle in a Given Quadrant
		Find the Reference Angle of an Angle
		Use a Reference Angle to Find the Exact Value of a Trigonometric Function
		Find the Exact Values of the Trigonometric Functions of an Angle, Given Information about the Functions
	5.5 Unit Circle Approach; Propertiesof the Trigonometric Functions
		Find the Exact Values of the Trigonometric Functions Using the Unit Circle
		Know the Domain and Range of the Trigonometric Functions
		Use Periodic Properties to Find the Exact Values of the Trigonometric Functions
		Use Even–Odd Properties to Find the Exact Values of the Trigonometric Functions
	5.6 Graphs of the Sine and Cosine Functions
		Graph the Sine Function y = sin x and Functions of the Form y = A sin (ωx)
		Graph the Cosine Function and Functions of the Form y = A cos (ωx)
		Determine the Amplitude and Period of Sinusoidal Functions
		Graph Sinusoidal Functions Using Key Points
		Find an Equation for a Sinusoidal Graph
	5.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
		Graph the Tangent Function y = tan x and the CotangentFunction y = cot x
		Graph Functions of the Form y = A tan (ωx) + B and y = A cot (ωx) + B
		Graph the Cosecant Function y = csc x and the Secant Function y = sec x
		Graph Functions of the Form y = A csc (ωx) + B and y = A sec(ωx) + B
	5.8 Phase Shift; Sinusoidal Curve Fitting
		Graph Sinusoidal Functions of the Form y = A sin (ωx − φ) + B
		Build Sinusoidal Models from Data
	Chapter Review
	Chapter Test
	Cumulative Review
	Chapter Projects
6 Analytic Trigonometry
	6.1 The Inverse Sine, Cosine, and Tangent Functions
		Define the Inverse Sine Function
		Find the Value of an Inverse Sine Function
		Define the Inverse Cosine Function
		Find the Value of an Inverse Cosine Function
		Define the Inverse Tangent Function
		Find the Value of an Inverse Tangent Function
		Use Properties of Inverse Functions to Find Exact Values of Certain Composite Functions
		Find the Inverse Function of a Trigonometric Function
		Solve Equations Involving Inverse Trigonometric Functions
	6.2 The Inverse Trigonometric Functions (Continued)
		Define the Inverse Secant, Cosecant, and Cotangent Functions
		Find the Value of Inverse Secant, Cosecant, and Cotangent Functions
		Find the Exact Value of Composite Functions Involving the Inverse Trigonometric Functions
		Write a Trigonometric Expression as an Algebraic Expression
	6.3 Trigonometric Equations
		Solve Equations Involving a Single Trigonometric Function
		Solve Trigonometric Equations Using a Calculator
		Solve Trigonometric Equations Quadratic in Form
		Solve Trigonometric Equations Using Fundamental Identities
		Solve Trigonometric Equations Using a Graphing Utility
	6.4 Trigonometric Identities
		Use Algebra to Simplify Trigonometric Expressions
		Establish Identities
	6.5 Sum and Difference Formulas
		Use Sum and Difference Formulas to Find Exact Values
		Use Sum and Difference Formulas to Establish Identities
		Use Sum and Difference Formulas Involving Inverse Trigonometric Functions
		Solve Trigonometric Equations Linear in Sine and Cosine
	6.6 Double-angle and Half-angle Formulas
		Use Double-angle Formulas to Find Exact Values
		Use Double-angle Formulas to Establish Identities
		Use Half-angle Formulas to Find Exact Values
	6.7 Product-to-Sum and Sum-to-Product Formulas
		Express Products as Sums
		Express Sums as Products
	Chapter Review
	Chapter Test
	Cumulative Review
	Chapter Projects
7 Applications of Trigonometric Functions
	7.1 Applications Involving Right Triangles
		Solve Right Triangles
		Solve Applied Problems
	7.2 The Law of Sines
		Solve SAA or ASA Triangles
		Solve SSA Triangles
		Solve Applied Problems
	7.3 The Law of Cosines
		Solve SAS Triangles
		Solve SSS Triangles
		Solve Applied Problems
	7.4 Area of a Triangle
		Find the Area of SAS Triangles
		Find the Area of SSS Triangles
	7.5 Simple Harmonic Motion; Damped Motion; Combining Waves
		Build a Model for an Object in Simple Harmonic Motion
		Analyze Simple Harmonic Motion
		Analyze an Object in Damped Motion
		Graph the Sum of Two Functions
	Chapter Review
	Chapter Test
	Cumulative Review
	Chapter Projects
8 Polar Coordinates Vectors
	8.1 Polar Coordinates
		Plot Points Using Polar Coordinates
		Convert from Polar Coordinates to Rectangular Coordinates
		Convert from Rectangular Coordinates to Polar Coordinates
		Transform Equations Between Polar and Rectangular Forms
	8.2 Polar Equations and Graphs
		Identify and Graph Polar Equations by Converting to Rectangular Equations
		Test Polar Equations for Symmetry
		Graph Polar Equations by Plotting Points
	8.3 The Complex Plane; De Moivre’s Theorem
		Plot Points in the Complex Plane
		Convert a Complex Number Between Rectangular Form and Polar Form or Exponential Form
		Find Products and Quotients of Complex Numbers
		Use De Moivre’s Theorem
		Find Complex Roots
	8.4 Vectors
		Graph Vectors
		Find a Position Vector
		Add and Subtract Vectors Algebraically
		Find a Scalar Multiple and the Magnitude of a Vector
		Find a Unit Vector
		Find a Vector from Its Direction and Magnitude
		Model with Vectors
	8.5 The Dot Product
		Find the Dot Product of Two Vectors
		Find the Angle Between Two Vectors
		Determine Whether Two Vectors Are Parallel
		Determine Whether Two Vectors Are Orthogonal
		Decompose a Vector into Two Orthogonal Vectors
		Compute Work
	8.6 Vectors in Space
		Find the Distance Between Two Points in Space
		Find Position Vectors in Space
		Perform Operations on Vectors
		Find the Dot Product
		Find the Angle Between Two Vectors
		Find the Direction Angles of a Vector
	8.7 The Cross Product
		Find the Cross Product of Two Vectors
		Know Algebraic Properties of the Cross Product
		Know Geometric Properties of the Cross Product
		Find a Vector Orthogonal to Two Given Vectors
		Find the Area of a Parallelogram
	Chapter Review
	Chapter Test
	Cumulative Review
	Chapter Projects
9 Analytic Geometry
	9.1 Conics
		Know the Names of the Conics
	9.2 The Parabola
		Analyze Parabolas with Vertex at the Origin
		Analyze Parabolas with Vertex at (h, k)
		Solve Applied Problems Involving Parabolas
	9.3 The Ellipse
		Analyze Ellipses with Center at the Origin
		Analyze Ellipses with Center at (h, k)
		Solve Applied Problems Involving Ellipses
	9.4 The Hyperbola
		Analyze Hyperbolas with Center at the Origin
		Find the Asymptotes of a Hyperbola
		Analyze Hyperbolas with Center at (h, k)
		Solve Applied Problems Involving Hyperbolas
	9.5 Rotation of Axes; General Form of a Conic
		Identify a Conic
		Use a Rotation of Axes to Transform Equations
		Analyze an Equation Using a Rotation of Axes
		Identify Conics Without Rotating the Axes
	9.6 Polar Equations of Conics
		Analyze and Graph Polar Equations of Conics
		Convert the Polar Equation of a Conic to a Rectangular Equation
	9.7 Plane Curves and Parametric Equations
		Graph Parametric Equations
		Find a Rectangular Equation for a Plane Curve Defined Parametrically
		Use Time as a Parameter in Parametric Equations
		Find Parametric Equations for Plane Curves Defined by Rectangular Equations
	Chapter Review
	Chapter Test
	Cumulative Review
	Chapter Projects
10 Systems of Equations and Inequalities
	10.1 Systems of Linear Equations: Substitution and Elimination
		Solve Systems of Equations by Substitution
		Solve Systems of Equations by Elimination
		Identify Inconsistent Systems of Equations Containing Two Variables
		Express the Solution of a System of Dependent Equations Containing Two Variables
		Solve Systems of Three Equations Containing Three Variables
		Identify Inconsistent Systems of Equations Containing Three Variables
		Express the Solution of a System of Dependent Equations Containing Three Variables
	10.2 Systems of Linear Equations: Matrices
		Write the Augmented Matrix of a System of Linear Equations
		Write the System of Equations from the Augmented Matrix
		Perform Row Operations on a Matrix
		Solve a System of Linear Equations Using Matrices
	10.3 Systems of Linear Equations: Determinants
		Evaluate 2 by 2 Determinants
		Use Cramer’s Rule to Solve a System of Two Equations Containing Two Variables
		Evaluate 3 by 3 Determinants
		Use Cramer’s Rule to Solve a System of Three Equations Containing Three Variables
		Know Properties of Determinants
	10.4 Matrix Algebra
		Find the Sum and Difference of Two Matrices
		Find Scalar Multiples of a Matrix
		Find the Product of Two Matrices
		Find the Inverse of a Matrix
		Solve a System of Linear Equations Using an Inverse Matrix
	10.5 Partial Fraction Decomposition
		Decompose P/Q Where Q Has Only Nonrepeated Linear Factors
		Decompose P/Q Where Q Has Repeated Linear Factors
		Decompose P/Q Where Q Has a Nonrepeated Irreducible Quadratic Factor
		Decompose P/Q Where Q Has a Repeated Irreducible Quadratic Factor
	10.6 Systems of Nonlinear Equations
		Solve a System of Nonlinear Equations Using Substitution
		Solve a System of Nonlinear Equations Using Elimination
	10.7 Systems of Inequalities
		Graph an Inequality
		Graph a System of Inequalities
	10.8 Linear Programming
		Set Up a Linear Programming Problem
		Solve a Linear Programming Problem
	Chapter Review
	Chapter Test
	Cumulative Review
	Chapter Projects
11 Sequences Induction the Binomial Theorem
	11.1 Sequences
		List the First Several Terms of a Sequence
		List the Terms of a Sequence Defined by a Recursive Formula
		Use Summation Notation
		Find the Sum of a Sequence
	11.2 Arithmetic Sequences
		Determine Whether a Sequence Is Arithmetic
		Find a Formula for an Arithmetic Sequence
		Find the Sum of an Arithmetic Sequence
	11.3 Geometric Sequences; Geometric Series
		Determine Whether a Sequence Is Geometric
		Find a Formula for a Geometric Sequence
		Find the Sum of a Geometric Sequence
		Determine Whether a Geometric Series Converges or Diverges
		Solve Annuity Problems
	11.4 Mathematical Induction
		Prove Statements Using Mathematical Induction
	11.5 The Binomial Theorem
		Evaluate (n j)
		Use the Binomial Theorem
	Chapter Review
	Chapter Test
	Cumulative Review
	Chapter Projects
12 Counting and Probability
	12.1 Counting
		Find All the Subsets of a Set
		Count the Number of Elements in a Set
		Solve Counting Problems Using the Multiplication Principle
	12.2 Permutations and Combinations
		Solve Counting Problems Using Permutations Involving n Distinct Objects
		Solve Counting Problems Using Combinations
		Solve Counting Problems Using Permutations Involving N Nondistinct Objects
	12.3 Probability
		Construct Probability Models
		Compute Probabilities of Equally Likely Outcomes
		Find Probabilities of the Union of Two Events
		Use the Complement Rule to Find Probabilities
	Chapter Review
	Chapter Test
	Cumulative Review
	Chapter Projects
13 A Preview of Calculus: The Limit, Derivative, and Integral of a Function
	13.1 Investigating Limits Using Tables and Graphs
		Investigate a Limit Using a Table
		Investigate a Limit Using a Graph
	13.2 Algebraic Techniques for Finding Limits
		Find the Limit of a Sum, a Difference, and a Product
		Find the Limit of a Polynomial
		Find the Limit of a Power or a Root
		Find the Limit of a Quotient
		Find the Limit of an Average Rate of Change
	13.3 One-sided Limits; Continuity
		Find the One-sided Limits of a Function
		Determine Whether a Function Is Continuous at a Number
	13.4 The Tangent Problem; The Derivative
		Find an Equation of the Tangent Line to the Graph of a Function
		Find the Derivative of a Function
		Find Instantaneous Rates of Change
		Find the Instantaneous Velocity of an Object
	13.5 The Area Problem; The Integral
		Approximate the Area Under the Graph of a Function
		Approximate Integrals Using a Graphing Utility
	Chapter Review
	Chapter Test
	Chapter Projects
Appendix A Review
	A.1 Algebra Essentials
		Work with Sets
		Graph Inequalities
		Find Distance on the Real Number Line
		Evaluate Algebraic Expressions
		Determine the Domain of a Variable
		Use the Laws of Exponents
		Evaluate Square Roots
		Use a Calculator to Evaluate Exponents
	A.2 Geometry Essentials
		Use the Pythagorean Theorem and Its Converse
		Know Geometry Formulas
		Understand Congruent Triangles and Similar Triangles
	A.3 Polynomials
		Recognize Monomials
		Recognize Polynomials
		Add and Subtract Polynomials
		Multiply Polynomials
		Know Formulas for Special Products
		Divide Polynomials Using Long Division
		Work with Polynomials in Two Variables
	A.4 Factoring Polynomials
		Factor the Difference of Two Squares and the Sum and Difference of Two Cubes
		Factor Perfect Squares
		Factor a Second-degree Polynomial: x² + Bx + C
		Factor by Grouping
		Factor a Second-degree Polynomial: Ax² + Bx + C, A ≠ 1
		Complete the Square
	A.5 Synthetic Division
		Divide Polynomials Using Synthetic Division
	A.6 Rational Expressions
		Reduce a Rational Expression to Lowest Terms
		Multiply and Divide Rational Expressions
		Add and Subtract Rational Expressions
		Use the Least Common Multiple Method
		Simplify Complex Rational Expressions
	A.7 nth Roots; Rational Exponents
		Work with nth Roots
		Simplify Radicals
		Rationalize Denominators and Numerators
		Simplify Expressions with Rational Exponents
	A.8 Solving Equations
		Solve Linear Equations
		Solve Rational Equations
		Solve Equations by Factoring
		Solve Radical Equations
	A.9 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
		Translate Verbal Descriptions into Mathematical Expressions
		Solve Interest Problems
		Solve Mixture Problems
		Solve Uniform Motion Problems
		Solve Constant Rate Job Problems
	A.10 Interval Notation; Solving Inequalities
		Use Interval Notation
		Use Properties of Inequalities
		Solve Inequalities
		Solve Combined Inequalities
	A.11 Complex Numbers
		Add, Subtract, Multiply, and Divide Complex Numbers
Appendix B Graphing Utilities
	B.1 The Viewing Rectangle
	B.2 Using a Graphing Utility to Graph Equations
	B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
	B.4 Using a Graphing Utility to Solve Equations
	B.5 Square Screens
	B.6 Using a Graphing Utility to Graph Inequalities
	B.7 Using a Graphing Utility to Solve Systems of Linear Equations
	B.8 Using a Graphing Utility to Graph a Polar Equation
	B.9 Using a Graphing Utility to Graph Parametric Equations
Answers
	Chapter F
	Chapter 1
	Chapter 2
	Chapter 3
	Chapter 4
	Chapter 5
	Chapter 6
	Chapter 7
	Chapter 8
	Chapter 9
	Chapter 10
	Chapter 11
	Chapter 12
	Chapter 13
	Appendix A
	Appendix B
Challenge Problem Solutions
	Chapter F
	Chapter 1
	Chapter 2
	Chapter 3
	Chapter 4
	Chapter 5
	Chapter 6
	Chapter 7
	Chapter 8
	Chapter 9
	Chapter 10
	Chapter 11
	Chapter 12
Subject Index
	A
	B
	C
	D
	E
	F
	G
	H
	I
	J
	K
	L
	M
	N
	O
	P
	Q
	R
	S
	T
	U
	V
	W
	X
	Y
	Z
Endpapers




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