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

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Presentation transcript:

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

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

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)

Example

Complex Conjugate Zeros

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

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

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)