PreCalculus: Lesson Plan * 10/10/2006

Quickstart
Exploration p.169

Assignment
Writing about Math
p.176

Lesson
2.4 Complex Numbers (continued)
IV Plotting Complex Numbers
See Example 5 on p.178 in textbook

2.5 The Fundamental Theorem of Algebra Objective: Students will know how to find zeros of a polynomial function
I. The Fundamental Theorem of Algebra
A. The Fundamental Theorem of Algebra
If ƒ(x) is a polynomial of degree n, where n>0, then ƒ has at least one zero in the complex number system.
B. The Linear Factorization Theorem
If ƒ(x) is a polynomial function of degree n, where n>o, then ƒ has precisely n linear factors.


II. Conjugate Pairs
If ƒ is a polynomial function with real coefficients, then whenever a + bi is a zero of ƒ, a - bi is also a zero of ƒ.


III. Factoring a Polynomial
Every polynomial of degree n > 0 with real coefficients can be written as the product of linear and quadratic factors with real coefficients, where the quadratic factors have no real zeros.

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Homework
p.185 - 187 # 5 - 50 x 5's