Roots and Multiplicities

f(x) = (x+2)(x-3)²(x-4) Which choice best describes the zeros?

• -2, 3 (multiplicity 2), 4

• -2 (multiplicity 2), 3, 4

• 2, -3 (multiplicity 2), -4

• 2 (multiplicity 2), -3, -4

In the above graph, which root has a multiplicity of 2?

• -1

• -3

• -120

• 4

What are the roots of the function?

• 4,1

• 3,1,-2,-5

• -3, -1, 2, 5

• -2,4

What's the multiplicity of the function? f(x) = (x + 7)²

• 3

• 2

• 0

• 1

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

Which choice is correct?

• The zero at −2 has a multiplicity of 3.

• This function has one real zero at -2.

• This function has one real zero at 2.

• The zero at −2 has a multiplicity of 2.

Which graph has a root with a multiplicity of 3?

• 
• 
• 
• 

If the graph of a function crosses the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

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

• Even

• Odd

• None

What are the zeros of the polynomial function?
y = x(x - 6)(x + 5)

• 0, 6, -5

• 6, -5

• 0, -6, 5

• 1, -6, 5