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

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)

Objective 3.2: Polynomial Objective 3.2: Polynomial Functions of Higher Degree Functions of Higher Degree and Divisionand Division

Notes 9/24

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:

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

2) Polynomial DivisionEx 1] ( ) ( )

Ex 2]

352053 234 xxxxx

Try On Your Own:Try On Your Own:

1)

2)

2810135 23 xxxx

124254 24 yyyy

C. Synthetic DivisionC. Synthetic Division

Ex 1] Now, divide with Synthetic Division:

( ) ( )

Ex 3] 12)432( 2 xxx

Try On Your Own:Try On Your Own:Divide Using Synthetic Division:1)

2)

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

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!!!

HomeworkHomework•Test 2A corrections and Practice 2B