homework quiz 1. list all possible rational zeros for the function f(x)=x 3 -4x 2 -4x+16 2. find all...
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Homework Quiz1. List all possible rational zeros for the
function f(x)=x3-4x2-4x+16
2. Find all real solutions of the polynomial equation . Solve algebraically but check graphically.
x4 – x3 -29x2 –x -30 =0
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Imaginary Numbersi2 = - 1
i = √-1
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Complex NumbersMade up of adding real numbers to multiples
of imaginary numbers
bia
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Adding and Subtracting Complex Numbers 1. )32()3( ii
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PropertiesMany of the properties of real numbers are
valid for complex numbers as well includingAssociative Property of Addition and
MultiplicationCommutative Property of Addition and
MultiplicationDistributive Property of Multiplication
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Multiplying Complex Numbers1. )34)(2( ii
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ConjugatesNotice in the previous slide the product of
was a real number.
This happens when you multiply a complex number by its conjugate
)23)(23( ii
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ExampleMultiply 3 – 5i by its conjugate
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Quotient of Complex NumbersWrite in standard form
i
i
24
32
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Plotting Complex Numbers
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HomeworkP. 133 #5, 9, 15-51 every other odd, 67-72 on
same plane