Multiplicity and Zeros

Odd Multiplicities have which of the following effects on the x-axis?

• Cross the x-axis

• Turn on the x-axis

If there is a turning point (bounce) on the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?

• -4, -1, 3

• 3, -3, 4, 1

• 4, 1, -3

• 3, -4, -1, 3

Even Degree
- Leading Coeff. Even Degree
+ Leading Coeff. Odd Degree
- Leading Coeff. Odd Degree
+ Leading Coeff.

• Even Degree
  - Leading Coeff.

• Even Degree
  + Leading Coeff.

• Odd Degree
  - Leading Coeff.

• Odd Degree
  + Leading Coeff.

What are the zeros?

• x= -3,-1,2

• x= -3, -1, -1, -1, 2, 2

• x=10

• x= -3, -1, 2, 10

How many zeros are there?

• 3

• 4

• 5

• 1

What are the zeros?

• x= -4, 3, 4

• x= -4, -4, 3, 4

• x = -4, 3

• x= -4, -4, 3, 3

How many zeros?

• 6

• 10

• 6

• 8

What are the zeros?

• x= -5 mult. of 3, -1 mult. of 2, 3 mult. of 3

• x = -5, -1, 3

• x = -5 mult. of 1, -1 mult. of 2, 3 mult. of 3

• y = 10

What are the zeros?

• x = -1, 1, 3, 4

• x = -1, -1, 1, 1, 3, 3, 4, 4

• x = -1, 1, 3, 3, 4

• x = -1, 1, 3, 4, 4