Presentation is loading. Please wait.

Presentation is loading. Please wait.

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

Published byBeatrix Perkins Modified over 9 years ago

Similar presentations

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

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

Similar presentations

Notes 6.6 Fundamental Theorem of Algebra

Notes 6.6 Fundamental Theorem of Algebra
E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 2.5 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 2.5 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.
E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 3.1 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 3.1 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.
E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals B.3 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals B.3 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.
E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals A2 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals A2 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.
Section 5.6 – Complex Zeros; Fundamental Theorem of Algebra Complex Numbers Standard form of a complex number is: a + bi. Every complex polynomial function.

Section 5.6 – Complex Zeros; Fundamental Theorem of Algebra Complex Numbers Standard form of a complex number is: a + bi. Every complex polynomial function.
OBJECTIVES: 1. USE THE FUNDAMENTAL THEOREM OF ALGEBRA 2. FIND COMPLEX CONJUGATE ZEROS. 3. FIND THE NUMBER OF ZEROS OF A POLYNOMIAL. 4. GIVE THE COMPLETE.

OBJECTIVES: 1. USE THE FUNDAMENTAL THEOREM OF ALGEBRA 2. FIND COMPLEX CONJUGATE ZEROS. 3. FIND THE NUMBER OF ZEROS OF A POLYNOMIAL. 4. GIVE THE COMPLETE.
Lesson 2.5 The Fundamental Theorem of Algebra. For f(x) where n > 0, there is at least one zero in the complex number system Complex → real and imaginary.

Lesson 2.5 The Fundamental Theorem of Algebra. For f(x) where n > 0, there is at least one zero in the complex number system Complex → real and imaginary.
E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 2.1 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 2.1 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.
E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 2.2 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 2.2 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.
Complex Zeros; Fundamental Theorem of Algebra

Complex Zeros; Fundamental Theorem of Algebra
E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 2.7 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 2.7 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.
PRE-AP PRE- CALCULUS CHAPTER 2, SECTION 5 Complex Zeros and the fundamental Theorem of Algebra.

PRE-AP PRE- CALCULUS CHAPTER 2, SECTION 5 Complex Zeros and the fundamental Theorem of Algebra.
E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals B.2 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals B.2 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.
The Rational Root Theorem.  Is a useful way to find your initial guess when you are trying to find the zeroes (roots) of the polynomial.  THIS IS JUST.

The Rational Root Theorem.  Is a useful way to find your initial guess when you are trying to find the zeroes (roots) of the polynomial.  THIS IS JUST.
6.6 The Fundamental Theorem of Algebra

6.6 The Fundamental Theorem of Algebra
POLYNOMIAL, RATIONAL, EXPONENTIAL, AND LOGARITHMIC FUNCTIONS College Algebra.

POLYNOMIAL, RATIONAL, EXPONENTIAL, AND LOGARITHMIC FUNCTIONS College Algebra.
E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 3.6 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 3.6 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.
E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 1.1 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 1.1 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.
E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 2.3 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 2.3 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.

Similar presentations

Ads by Google