Characteristics of Polynomials

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

What are the roots of the polynomial function?
y = (x + 2)(x - 7)³

• -2, 7 multiplicity 3
• -2, 7, 3
• 2, -7 multiplicity 3
• 2, -7, 3

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

• Cross the x-axis
• Turn on the x-axis

What are the zeros of the function?

• 4,1
• 3,1,-2,-5
• -3, -1, 2, 5
• -2,4

• 2

• 1

• 4

• 3

• 1

• 2

• 3

• 4

How does a multiplicity of 2 affect the graph?

• cross

• bounce

• wiggle (change direction)

A polynomial function has zeros at 5 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function rule that could represent this function.

Which root has even multiplicity?

• 1
• -4
• -1
• 2

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