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Homework Quiz 1. List all possible rational zeros for the function f(x)=x 3 -4x 2 -4x+16 2. Find all real solutions of the polynomial equation. Solve algebraically but check graphically. x 4 – x 3 -29x 2 –x -30 =0

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ImaginaryNumbers i 2 = - 1 i = -1

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Complex Numbers Made up of adding real numbers to multiples of imaginary numbers

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Adding and Subtracting Complex Numbers 1.

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Properties Many of the properties of real numbers are valid for complex numbers as well including Associative Property of Addition and Multiplication Commutative Property of Addition and Multiplication Distributive Property of Multiplication

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Multiplying Complex Numbers 1.

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Conjugates Notice in the previous slide the product of was a real number. This happens when you multiply a complex number by its conjugate

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Example Multiply 3 – 5i by its conjugate

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Quotient of Complex Numbers Writein standard form

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Plotting Complex Numbers

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Homework P. 133 #5, 9, 15-51 every other odd, 67-72 on same plane

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Chapter 2 Polynomial and Rational Functions. Warm Up 2.4 From 1980 to 2002, the number of quarterly periodicals P published in the U.S. can be modeled.

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