SOLUTIONS
College Algebra and Trigonometry and
Precalculus: A Right Triangle Approach
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,INSTRUCTOR’S SOLUTION
MANUAL
BEVERLY FUSFIELD
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C OLLEGE A LGEBRA AND
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T RIGONOMETRY
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AND
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A R IGHT T RIANGLE A PPROACH
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F OURTH E DITION
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J. S. Ratti
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University of South Florida
Marcus McWaters
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University of South Florida
Leslaw A. Skrzypek
University of South Florida
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The author and publisher of this book have used their best efforts in preparing this book. These efforts include the
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development, research, and testing of the theories and programs to determine their effectiveness. The author and
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contained in this book. The author and publisher shall not be liable in any event for incidental or consequential damages
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, CONTENTS
Chapter P Basic Concepts of Algebra
P.1 The Real Numbers and Their Properties ...................................................... 1
P.2 Integer Exponents and Scientific Notation ................................................... 7
P.3 Polynomials ................................................................................................ 13
P.4 Factoring Polynomials................................................................................ 20
P.5 Rational Expressions .................................................................................. 27
P.6 Rational Exponents and Radicals ............................................................... 37
Chapter P Review Exercises.................................................................................... 46
Chapter P Practice Test ........................................................................................... 51
Chapter 1 Equations and Inequalities
1.1 Linear Equations in One Variable .............................................................. 53
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1.2 Applications of Linear Equations: Modeling ............................................. 63
1.3 Quadratic Equations ................................................................................... 74
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1.4 Complex Numbers: Quadratic Equations with Complex Solutions ........... 89
1.5 Solving Other Types of Equations ............................................................. 96
1.6 Inequalities ............................................................................................... 116
1.7 Equations and Inequalities Involving Absolute Value ............................. 131
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Chapter 1 Review Exercises .................................................................................. 148
Chapter 1 Practice Test A ...................................................................................... 159
Chapter 1 Practice Test B ...................................................................................... 160
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Chapter 2 Graphs and Functions
2.1 The Coordinate Plane ............................................................................... 163
2.2 Graphs of Equations ................................................................................. 172
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2.3 Lines ......................................................................................................... 185
2.4 Functions .................................................................................................. 200
2.5 Properties of Functions............................................................................. 210
2.6 A Library of Functions ............................................................................. 219
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Chapter 2 Practice Test A ...................................................................................... 285
Chapter 2 Practice Test B ...................................................................................... 286
Cumulative Review Exercises (Chapters P−2)...................................................... 287
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Chapter 3 Polynomial and Rational Functions
3.1 Quadratic Functions ................................................................................. 291
3.2 Polynomial Functions ............................................................................... 310
3.3 Dividing Polynomials ............................................................................... 323
3.4 The Real Zeros of a Polynomial Function ................................................ 334
3.5 The Complex Zeros of a Polynomial Function ........................................ 353
3.6 Rational Functions.................................................................................... 363
3.7 Variation ................................................................................................... 382
Chapter 3 Review Exercises .................................................................................. 387
Chapter 3 Practice Test A ...................................................................................... 403
Chapter 3 Practice Test B ...................................................................................... 404
Cumulative Review Exercises (Chapters P−3)...................................................... 405
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