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
ED
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
publisher make no warranty of any kind, expressed or implied, with regard to these programs or the documentation
contained in this book. The author and publisher shall not be liable in any event for incidental or consequential damages
in connection with, or arising out of, the furnishing, performance, or use of these programs.
, 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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