Algebra and Trigonometry
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This bestselling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking. Comprehensive and evenly paced, the book provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into mathematical ideas. The authors' attention to detail and clarity--the same as found in James Stewart's market-leading Calculus book--is what makes this book the market leader.
are represented in Canada by Nelson Education, Ltd. To learn more about Brooks/Cole, visit www.cengage.com/brookscole Purchase any of our products at your local college store or at our preferred online store www.cengagebrain.com. Printed in the United States of America 1 2 3 4 5 6 7 14 13 12 11 CON T E N TS PREFACE xi TO THE STUDENT xix PROLOGUE: PRINCIPLES OF PROBLEM SOLVING P1 CHAPTER P PREREQUISITES P.1 P.2 P.3 P.4 P.5 P.6 P.7 ■ CHAPTER Chapter Overview 1 Real Numbers and Their
rational number? (f) State the Laws of Exponents. n 7. (a) What does 1 a ϭ b mean? (b) Why is 2a 2 ϭ 0 a 0 ? (c) How many real nth roots does a positive real number have if n is odd? If n is even? 8. Explain how the procedure of rationalizing the denominator works. 9. State the Special Product Formulas for 1A ϩ B2 1A Ϫ B2, 1A ϩ B2 2, 1A Ϫ B2 2, 1A ϩ B2 3, and 1A Ϫ B2 3. 10. State each Special Factoring Formula. (a) Difference of squares (b) Difference of cubes (c) Sum of cubes 11. (a) Explain
52 (e) 1x ϩ 223 (f) x2 1x Ϫ 321x ϩ 32 8. Factor each expression completely. (a) 4x2 Ϫ 25 (d) x ϩ 27x 4 (b) 2x2 ϩ 5x Ϫ 12 3/2 (e) 3x Ϫ 9x 1/2 ϩ 6x (c) x3Ϫ 3x2 Ϫ 4x ϩ 12 Ϫ1/2 9. Simplify the rational expression. (a) x2 ϩ 3x ϩ 2 x2 Ϫ x Ϫ 2 (b) (c) x xϩ1 Ϫ xϩ2 x2 Ϫ 4 y x Ϫ x y (d) 1 1 Ϫ x y 2 2x2 Ϫ x Ϫ 1 x ϩ 3 # 2x ϩ 1 x2 Ϫ 9 10. Rationalize the denominator, and simplify. (a) 52 6 3 2 4 (b) 16 2 ϩ 13 (f) x3y Ϫ 4xy FOCUS ON MODELING Modeling the Real World with Algebra In
indicated variable. 7. The sum of three consecutive integers; n ϭ first integer of the three 8. The sum of three consecutive integers; n ϭ middle integer of the three 9. The average of three test scores if the first two scores are 78 and 82; s ϭ third test score 10. The average of four quiz scores if each of the first three scores is 8; q ϭ fourth quiz score 11. The interest obtained after one year on an investment at 212 % simple interest per year; x ϭ number of dollars invested 12. The total
page, search for the ISBN of your title (from the back cover of your book) using the search box at the top of the page. This will take you to the product page where free companion resources can be found. Text-Specific DVDs ISBN-10: 1-111-57275-5; ISBN-13: 978-1-111-57275-4 The Text-Specific DVDs include new learning objective based lecture videos. These DVDs provide comprehensive coverage of the course—along with additional explanations of concepts, sample problems, and applications—to help