Zeros of Polynomial Functions [PDF]

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2-4

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PERIOD

Zeros of Polynomial Functions

What You’ll Learn

Scan the text in Lesson 2-4. Write two facts that you learned about zeros of polynomial functions. 1.

2.

Active Vocabulary

New Vocabulary Write the definition next to each term.

Fundamental Theorem of Algebra

Lesson 2-4

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Descartes’ Rule of Signs

Rational Zero Theorem

Chapter 2

27

Glencoe Precalculus

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DATE

PERIOD

Lesson 2-4 (continued)

Main Idea Real Zeros pp. 119–123

Details Use the Rational Zero Theorem, the Upper and Lower Bound Tests, or Descartes’ Rule of Signs to find the zeros of f(x) = x3 - 7x - 6. Find all possible rational zeros. Determine an interval within which all of the real zeros are located. Determine the number of positive and negative real zeros.

Find the real zeros.

Chapter 2

Find the minimum degree of the polynomial function with real coefficients that have the given zeros. 1.

2, -7

2.

1 6, -6, −

3.

3 + √ 7 , 2 - 8i

3

28

Glencoe Precalculus

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Complex Zeros pp. 123–126