Complex Numbers

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Fundamental Theorem of Algebra

A polynomial f(x) of degree n ≥ 1 has at least one complex zero

Remember that complex includes reals

Number of Zeros theorem

A polynomial of degree n has at most n distinct zeros

Explain how theorems apply to these graphs

Slide 15

Conjugate Zeroes Theorem

Given a polynomial with real coefficients

If a + bi is a zero, then a – bi will also be a zero

Slide 16

Assignment

Lesson 3.3

Page 211

Exercises 1 – 78 EOO