Presentation is loading. Please wait.

Presentation is loading. Please wait.

Complex Zeros Objective: Students will be able to calculate and describe what complex zeros are.

Published byLiliana Singleton Modified over 6 years ago

Similar presentations

Presentation on theme: "Complex Zeros Objective: Students will be able to calculate and describe what complex zeros are."— Presentation transcript:

1 Complex Zeros Objective: Students will be able to calculate and describe what complex zeros are.

2 Fundamental Theorem of Algebra
A polynomial function of degree n has n complex zeros (real and nonreal). Some of these zeros may be repeated.

3 Honors Explain What is a complex number? What is real vs imaginary? What is i? What is a conjugate? How do we add, subtract, multiply and divide complex numbers? How does this relate to graphs? (parabola)

4 Example

5 Complex Conjugate Zeros

6 Example Factoring a Polynomial with complex zeros
What are some of the factors we could try, previous until to help with long division

7 Homework Pg 234 3, 10, 14, 17-20, 28,33

8 Example Finding a polynomial from given zeros Write a polynomial function of minimum degree in standard form with real coefficients whose zeros include, -3,4,2-i (this last one needs the congugate so the I cancels)

Download ppt "Complex Zeros Objective: Students will be able to calculate and describe what complex zeros are."

Similar presentations

Operations with Complex Numbers

Operations with Complex Numbers
Complex Numbers The imaginary number i is defined as so that Complex numbers are in the form a + bi where a is called the real part and bi is the imaginary.

Complex Numbers The imaginary number i is defined as so that Complex numbers are in the form a + bi where a is called the real part and bi is the imaginary.
Zeros of Polynomial Functions

Zeros of Polynomial Functions
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.
6.7 – Using the Fundamental Theorem of Algebra

6.7 – Using the Fundamental Theorem of Algebra
The Fundamental Theorem of Algebra And Zeros of Polynomials

The Fundamental Theorem of Algebra And Zeros of Polynomials
Complex Zeros; Fundamental Theorem of Algebra

Complex Zeros; Fundamental Theorem of Algebra
9.9 The Fundamental Theorem of Algebra

9.9 The Fundamental Theorem of Algebra
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.
6.6 The Fundamental Theorem of Algebra

6.6 The Fundamental Theorem of Algebra
6-5 Theorems About Roots of Polynomial Equations

6-5 Theorems About Roots of Polynomial Equations
1 Using the Fundamental Theorem of Algebra.  Talk about #56 & #58 from homework!!!  56 = has -1 as an answer twice  58 = when you go to solve x 2 +

1 Using the Fundamental Theorem of Algebra.  Talk about #56 & #58 from homework!!!  56 = has -1 as an answer twice  58 = when you go to solve x 2 +
Ch 2.5: The Fundamental Theorem of Algebra

Ch 2.5: The Fundamental Theorem of Algebra
2.7 Apply the Fundamental Theorem of Algebra Polynomials Quiz: Tomorrow (over factoring and Long/Synthetic Division) Polynomials Test: Friday.

2.7 Apply the Fundamental Theorem of Algebra Polynomials Quiz: Tomorrow (over factoring and Long/Synthetic Division) Polynomials Test: Friday.
COMPLEX ZEROS: FUNDAMENTAL THEOREM OF ALGEBRA Why do we have to know imaginary numbers?

COMPLEX ZEROS: FUNDAMENTAL THEOREM OF ALGEBRA Why do we have to know imaginary numbers?
Section 3.3 Theorems about Zeros of Polynomial Functions.

Section 3.3 Theorems about Zeros of Polynomial Functions.
Using the Fundamental Theorem of Algebra 6.7. Learning Targets Students should be able to… -Use fundamental theorem of algebra to determine the number.

Using the Fundamental Theorem of Algebra 6.7. Learning Targets Students should be able to… -Use fundamental theorem of algebra to determine the number.
Chapter 2 Polynomial and Rational Functions. Warm Up 2.5 2.

Chapter 2 Polynomial and Rational Functions. Warm Up

Similar presentations

Ads by Google