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Polynomial Functions Introduction

Investigating Polynomial Functions

Polynomial Division

Remainder & Factor Theorems

Polynomial Equations

Polynomial Inequalities

Rational Functions

Review&Test

Review1

Review2

 

jdsmathnotes

  UNIT 4 : POLYNOMIAL FUNCTIONS

  POLYNOMIAL FUNCTIONS TEST QUESTIONS

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

a) b)

 

 

 

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

 

a) Cubic b) Quartic

 

 

 

 

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

 

a) b)


 

 

 

Solutions:

 

 


 

x

y

-3

-20

-2

-16

1

20

 

 

 

 

x

y

-4

-12

-3

-14

1

-2

2

-1.5

 

 

 

 

 

 

 

 

 

x

y

-2

32

1

-8

 

 

 

 

 

 

 

 

 

 

 

 

 

Interval

 

 

 

Test Number

- 4

- 2

- 0.5

0.5

3

5

Sign of x

( - )

( - )

( - )

( + )

( + )

( + )

Sign of (x + 3)

( - )

( + )

( + )

( + )

( + )

( + )

Sign of (x 1)

( - )

( - )

( - )

( - )

( + )

( + )

Sign of (x 4)

( - )

( - )

( - )

( - )

( - )

( + )

Sign of (x + 1)

( - )

( - )

( + )

( + )

( + )

( + )

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

( - )

( + )

( - )

( + )

( - )

( + )

 

 

 

 

 

 

 

 

 

 

 

 

 

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)

( + )

( - )

( + )

( - )

( + )

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

a) b)

 

 

 

 

 

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

 

a) Cubic b) Quartic

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

x

y

-2

-9

-1

-8

 

 

x

y

1

-16

 

 

 


 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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