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Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc.

Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

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Page 1: Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

Mark DugopolskiElementary Algebra

Edition 3

Chapter 9Quadratic Equations and

Quadratic Functions

Copyright © 2000 by the McGraw-Hill Companies, Inc.

Page 2: Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

Quadratic Equation

9-1Page 454

Page 3: Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

Strategy for Solving Quadratic Equations by Factoring

9-2Page 455

Page 4: Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

Finding the Last Term

9-3Page 460

Page 5: Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

The Strategy for Solving a Quadratic Equation by Completing the Square

9-4Page 461

Page 6: Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

Figure 9.1

9-5Page 463 (Figure 9.1)

Page 7: Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

The Quadratic Formula

9-6Page 467

Page 8: Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

Table 9.1

9-7Page 469 (Table 9.1)

Page 9: Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

Solving the Quadratic Equationax + bx + c = 0

9-8Page 470

2

Page 10: Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

Complex Numbers

9-9Page 477

Page 11: Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

Figure 9.3

9-10Page 477 (Figure 9.3)

Page 12: Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

Addition and Subtraction of Complex Numbers

9-11Page 478

Page 13: Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

Multiplication ofComplex Numbers

9-12Page 478

Page 14: Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

Complex Conjugates

9-13Page 479

Page 15: Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

Dividing by a Complex Number

9-14Page 480

Page 16: Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

Square Root of aNegative Number

9-15Page 481

Page 17: Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

Complex Numbers

9-16Page 482

Page 18: Mark Dugopolski Elementary Algebra Edition 3 Chapter 9 Quadratic Equations and Quadratic Functions Copyright © 2000 by the McGraw-Hill Companies, Inc

Quadratic Function

9-17Page 485