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E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 3.4 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.

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Presentation on theme: "E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 3.4 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals."— Presentation transcript:

1 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 3.4 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals Zeros of Polynomial Functions KFUPM - Prep Year Math Program (c) 20013 All Right Reserved  Fundamental Theorem of Algebra  Conjugate Zero Theorem  End behavior of a Polynomial  Intermediate Value Theorem  Bisection Method

2 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals Fundamental Theorem of Algebra KFUPM - Prep Year Math Program (c) 2009 All Right Reserved

3 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals Repeated Zero Theorem KFUPM - Prep Year Math Program (c) 2009 All Right Reserved

4 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals Conjugate Zero Theorem KFUPM - Prep Year Math Program (c) 2009 All Right Reserved

5 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 1 Find the zeros and state the multiplicity and the degree of ZerosMultiplicity

6 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 2

7 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 3 Sketch the graph of the polynomial function

8 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 4

9 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 5

10 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals Intermediate Value Theorem KFUPM - Prep Year Math Program (c) 2009 All Right Reserved

11 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 6 Show that

12 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals Bisection method KFUPM - Prep Year Math Program (c) 2009 All Right Reserved

13 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 7

14 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals KFUPM - Prep Year Math Program (c) 2009 All Right Reserved Example 7 continue

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