Show:
End Behavior
Multiplicity
Factoring Polynomials
Synthetic Division
Solving Polynomials
100

Give the degree of the polynomial

3x4 + 5x3 - 2x +8

4

100

Identify the zeros of the polynomial:

f(x) = (x - 1)(x + 3)

x = 1

x = -3

100

Factor:

x2 - 16

(x + 4)(x - 4)

100

(x3 - 7x2 - 8x + 20) / (x + 2)

x2 - 9x + 10

100

Find the solutions of the polynomial:

f(x) = x2 + 5x + 6

x = -3

x = -2

200

Describe the end behavior of f(x) = 3x2+1

as x --> ∞, f(x) --> ∞

as x --> -∞, f(x) --> ∞

200

Identify the zeros and multiplicity of each for the following polynomial:

f(x) = x(x - 2)(x + 7)

x=0

x = 2, multiplicity 1

x = -7, multiplicity 1

200

Factor: 

3x3 + x2 + 21x + 7


(3x + 1)(x2 + 7)

200

(x3 + 4x2 - 3x - 14) / (x + 2)

x2 + 2x - 7

200

Find the solutions of the polynomial: 

f(x) = x3 + 2x2 - 4x - 8

x = -2

x = 2

x = -2

300

Describe the end behavior of f(x) = -x4 + x - 1

as x --> ∞, f(x) --> -∞

as x --> -∞, f(x) --> -∞ 

300

Identify the zeros and multiplicity of each for the  following polynomial:

f(x) = (x - 2)2(x - 5)

x = 2, multiplicity 2

x = 5, multiplicity 1

300

Factor: 

12x2 + 20x + 3

(2x + 3)(6x + 1)

300

(x3 + 5x2 - 32x - 64) / (x + 8)

x2 - 3x - 8

300

Use synthetic division to find the solutions of the polynomial:

f(x) = x3 +7x2 - 7x - 15 ; (x - 1) is a factor

x = 1

x = -5

x = -3

400

Describe the end behavior of f(x) = 6x3 + x - 5

as x --> ∞, f(x) --> ∞ 

as x --> -∞, f(x) --> -∞ 

400

Identify the zeros and multiplicity of each for the following polynomial: 

f(x) = (x - 4)3(x + 2)2(x + 3)

x = 4, multiplicity 3

x = -2, multiplicity 2

x = 3, multiplicity 1

400

Factor: 

27x3 + 1

(3x + 1)(9x2 - 3x + 1)

400

(x3 - 2x2 - 51x + 24) / (x-8)

x2 +6x - 3

400

Use synthetic division to find the solutions of the polynomial: 

f(x) = x3 + 6x2 - 9x - 54   ;  (x - 3) is a factor

x = 3

x = -3

x = -6

500

Describe the end behavior of f(x) = -2x5 - 4x2 + 9x - 6

as x --> ∞, f(x) --> -∞ 

as x --> -∞, f(x) --> ∞ 

500

Identify the zeros, multiplicity of each zero, and state whether the graph crosses or touches at each zero.

f(x) = x3(x + 5)4(x - 3)2(x + 1)

x = -5, multiplicity 4, touches

x = -1, multiplicity 3, crosses

x = 3, multiplicity 2, touches

x = -1, multiplicity 1, crosses

500

Factor: 

64x3 - 27

(4x - 3)(16x2 + 12x + 9)

500

(2x3 - 20x2 + 40x + 50) / (x - 5)

2x2 - 10x - 10

500

Use synthetic division to find the zeros of the polynomial:

f(x) = x3 + x2 - 27x + 18 ; (x + 6) is a factor

x = -6

x =