Multiplicity

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 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

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

• Even

• Odd

• None

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

• Cross the x-axis (intersects)

• Turn on the x-axis (bounce)

What are the zeros of the graph? SELECT THE BEST ANSWER

• -4, -1, 2, 1 multiplicity 2

• -4, -1, 1, 2

• 4, 1, -2, -1 multiplicity 2

• 4, 1, -1, -2

f(x)= x²(x – 2)³(x – 7)

Find and select each real zero and its multiplicity

• 0 (Mult of 2), 2 (Mult of 3), 7 (mult 1)

• 2 (Mult of 3), 7 (mult 1)

• 0, 2, 7

• 2 (mult of 2), 7 (mult of 3)

Please select the solution that describes if zeros crosses or turns at the x-axis for each x-intercept.

• 2 crosses, 1 crosses, -3 turns, -4 turns   

• 1 crosses, -3 turns, - 4 crosses

• 1 crosses, -3 turns, -4 turns  

• 1 turns, -3 crosses, -4 crosses  

Which root has even multiplicity?

• 1
• -4
• -1
• 2