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Polynomial Functions Introduction

Investigating Polynomial Functions

Polynomial Division

Remainder & Factor Theorems

Polynomial Equations

Polynomial Inequalities

Rational Functions

Review&Test

 

 


 UNIT 4  : POLYNOMIAL FUNCTIONS

 LESSON 6: SOLVING POLYNOMIAL INEQUALITIES

 

  

Interval

Test Number

- 3

- 1

5

Sign of (x + 2)

( - )

( + )

( + )

Sign of (x – 4)

( - )

( - )

( + )

Sign of (x + 2)(x – 4)

( + )

( - )

( + )

 

 

 

                          

                           

 

 

 

 

 

Interval

Test Number

- 4

- 2.5

0

3

Sign of (x + 3)

( - )

( + )

( + )

( + )

Sign of (x + 2)

( - )

( - )

( + )

( + )

Sign of (x – 2)

( - )

( - )

( - )

( + )

Sign of (x + 3)(x + 2)(x –4)

( - )

( + )

( - )

( + )

 

 

 

 

 

 

 

 

   

 

 

 

 

              

 

 

 

 

 

 

 

 

Interval

Test Number

- 3

0

4

Sign of (x + 2)

( - )

( + )

( + )

Sign of (x – 3)

( - )

( - )

( + )

Sign of (x + 2)/(x – 3 )

( + )

( - )

( + )

 

 

 

 

 

         

 

 

 

 

 

 

 

Interval

Test Number

- 3

- 1.5

0

4

6

Sign of (x – 3)

( - )

( - )

( - )

( + )

( + )

Sign of (x + 1)

( - )

( - )

( + )

( + )

( + )

Sign of (x – 5)

( - )

( - )

( - )

( - )

( + )

Sign of (x + 2)

( - )

( + )

( + )

( + )

( + )

 (x – 3)(x + 1)/(x – 5)(x + 2)

( + )

( - )

( + )

( - )

( + )

 

 

 

 

 

 

 

 

     

 

 

 

 

 

 

 

 

 

 

 

 

 

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