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9/24 Warm Up 9/24 Warm Up 1) If (-5,-3) is a point on an odd function, name
another point on the function. What if f was an even function?
2) For the following function:
a) Sketch it without the use of the calculator
b) Describe the Transformation
c) Is the function even, odd, or neither?
d) What are the Domain and Range?
e) For what values is the function Increasing? Decreasing?
3) Divide:
3)( xxf
987643763
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AgendaAgendaWarm Up Test 1C – done by the end of this
week!H.W. QuestionsObjective 3.2 Notes: Polynomials
Functions of Higher Degree and Division
Partner ActivityHow do black holes happen?
(Chopping Polynomials)
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Objective 3.2: Polynomial Objective 3.2: Polynomial Functions of Higher Degree Functions of Higher Degree and Divisionand Division
Notes 9/24
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A. Finding the Zeros of a Polynomial A. Finding the Zeros of a Polynomial Function Function by factoringby factoringEx 1] Find all Real Zeros of:
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B. Dividing PolynomialsB. Dividing Polynomials
1) Review: Basic Long Division
divisor
remainderquotient We write the
answer as:
We check the answer by making sure that:
dividendremainderdivisorquotient
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2) Polynomial DivisionEx 1] ( ) ( )
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Ex 2]
352053 234 xxxxx
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Try On Your Own:Try On Your Own:
1)
2)
2810135 23 xxxx
124254 24 yyyy
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C. Synthetic DivisionC. Synthetic Division
Ex 1] Now, divide with Synthetic Division:
( ) ( )
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Ex 3] 12)432( 2 xxx
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Try On Your Own:Try On Your Own:Divide Using Synthetic Division:1)
2)
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Ex 1.] Use synthetic division to find the function value: f(3)
Ex 2.] Use synthetic division to find the function value f(-5)
D. The Remainder D. The Remainder TheoremTheorem
If polynomial ( ) is divided by , then the remainder is ( ).f x x k r f k
325)( 2 xxxf
72)( 3 xxxf
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Staple your work together with names on top and hand into the H.W. bin.
1)
2)
Ticket Out the Door: Partner Ticket Out the Door: Partner ActivityActivityProblem #1
Partner A Long Division
Partner B Synthetic Division
Check that your answers match!!!
Problem #2Partner A Synthetic
DivisionPartner B Long
DivisionCheck that your answers
match!!!
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HomeworkHomework•Test 2A corrections and Practice 2B