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Polynomial Functions Introduction

Investigating Polynomial Functions

Polynomial Division

Remainder & Factor Theorems

Polynomial Equations

Polynomial Inequalities

Rational Functions

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  UNIT 4  : POLYNOMIAL AND RATIONAL FUNCTIONS

 LESSON 1: POLYNOMIAL FUNCTIONS HOMEWORK QUESTIONS

 

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HOMEWORK QUESTIONS

 

 

a)                                                                                                                     b)

                     

 

 

 

4.  Determine the equation(in factored form) of each of the following polynomial functions.

 

a)                                                                                                                                 b)

 

                               

 

 

 

5.  Find the equation of the quadratic function with zeros –2 and 1 such that f(-4) = 10.

 

6.  Find the equation of the cubic function with zeros –3, -2 and 1 such that f(-1) = 3.

 

Solutions:

 

 

                                                         

   

         

 

 

 

 

 

 

 

x

y

-1

18

1

36

 

 

 

 

x

y

-2

48

-1

72

 

 

 

 

x

y

-4

126

-3

168

-2

150

-1

96

1

-24

2

-42

 

a)                                                                                                                     b)

                    

     

 

 

 

 

 

 

4.  Determine the equation(in factored form) of each of the following polynomial functions.

 

a)  Cubic                                                                                                                         b)  Quartic

 

                               

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

                                                         

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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