Polynomial Theorems

Which solution is counted 3 times which means it has a multiplicity of 3.

• x = 2

• x = -1

• x = 4

How many total solutions does this polynomial have?

• 2

• 3

• 4

• 5

What are the solutions?

• x = 0, 2, 4

• x = -4, -2, 0, 4

• x = -2, 0, 2, 4

• x = -2, 2, 4

Determine the solutions of \(x^3-3x^2-x+3\) .

• The solutions are 0, 3, and -1

• The solutions are 3/2, 1, and -1.

• The solutions are 3, 1, and -1.

• The solutions are -3, 1, and -1.

Determine the solutions based on the graph of  .

• The solutions are 0 and 5.   (5 is a double root.)

• The solutions are 0 and -3.   (-3 is a double root.)

• The solutions are 0 and -6.   (-6 is a double root.)

• The solutions are 0 and -5.   (-5 is a double root.)

State the roots of based off of its graph.

• x = 0, 1, and 2/3. (0 is a double root.)

• x = 0, 1, and -4. (0 is  a double root.)

• x = 0 and 2. (0 is a triple root.)

• x = 0, 1, and 2. (0 is a double root.)

• A
• B
• C
• D

What are the zeros of the graph?

• -4, -1, 2 (all have a multiplicity of 1) and 1 with a multiplicity of 2

• -4, -1, 1, 2 (all have a multiplicity of 1)

• 4, 1, and -2 (all have a multiplicity of 1) and -1 with a multiplicity of 2

• 4, 1, -1, -2 (all have a multiplicity of 1)

Which statement is correct?

• The zeros of this polynomial are 0, 2, and 5. 

• The solution 5 has a multiplicity of 2

• The solution 1 has a multiplicity of 1

• There are 4 solutions. 

Which solution has a multiplicity of 1? 

• -1

• 1

• 3

• none of them do