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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: POLYNOMIAL INEQUALITIES HOMEWORK QUESTIONS

 

 

 

 

Solutions:

 

 

Interval

Test Number

- 9

- 4

2

5

Sign of x

( - )

( - )

( + )

( + )

Sign of (x + 8)

( - )

( + )

( + )

( + )

Sign of (x 4)

( - )

( - )

( - )

( + )

Sign of x(x + 8)(x 4)

( - )

( + )

( - )

( + )

 

 

 

 

 

 

Interval

Test Number

- 1

0

5

Sign of (x 4)

( - )

( - )

( + )

Sign of (2x + 1)

( - )

( + )

( + )

Sign of (x 4)(2x + 1)

( + )

( - )

( + )

 

 

 

 

 

 

 

 

Interval

Test Number

- 4

- 2

1

3

Sign of x2

( + )

( + )

( + )

( + )

Sign of (x 2)

( - )

( - )

( - )

( + )

Sign of (x + 3)

( - )

( + )

( + )

( + )

Sign of x2(x 2)(x + 3)

( + )

( - )

( - )

( + )

 

 

 

 

 

 

 

 

Interval

Test Number

- 4

- 2

0

2

Sign of (x + 3)

( - )

( + )

( + )

( + )

Sign of (x + 1)

( - )

( - )

( + )

( + )

Sign of (x 1)

( - )

( - )

( - )

( + )

Sign of (x + 3)(x + 1)(x 1)

( - )

( + )

( - )

( + )

 

 

 

 

 

Interval

Test Number

- 4

0

3

Sign of (x 2)

( - )

( - )

( + )

Sign of (x + 3)

( - )

( + )

( + )

Sign of (x 2)/(x + 3 )

( + )

( - )

( + )

 

 

 

 

Interval

 

Test Number

- 5

- 3.7

- 1

0.1

0.5

2

Sign of x

( - )

( - )

( - )

( + )

( + )

( + )

Sign of (2x + 7)

( - )

( - )

( + )

( + )

( + )

( + )

Sign of (x 1)

( - )

( - )

( - )

( - )

( - )

( + )

Sign of (x + 4)

( - )

( + )

( + )

( + )

( + )

( + )

Sign of (3x 1)

( - )

( - )

( - )

( - )

( + )

( + )

x(2x + 7)(x 1)/(x + 4)(3x 1)

( - )

( + )

( - )

( + )

( - )

( + )

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Interval

Test Number

- 4

0

4

Sign of 2(4x2+3x+9)

( + )

( + )

( + )

Sign of 3(x 3)

( - )

( - )

( + )

Sign of (x + 3)

( - )

( + )

( + )

( + )

( - )

( + )

 

 

 

 

 

 

 

 

 

 

 

 

 

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