Multiplicity of zeros

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

Tags

CCSS.HSA.APR.B.3

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

Tags

CCSS.HSF-IF.C.7C

Classify the function:

• quadratic
• cubic 
• quartic
• linear

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

Which root has even multiplicity?

• 1
• -4
• -1
• 2

Tags

CCSS.HSA.APR.B.3

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)

Tags

CCSS.HSA.APR.B.3

Select polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4 with Degree: 7

• (x + 5)³(x - 9)²(x + 2)(x - 4)
• (x + 5)³(x - 9)²(x + 2)⁷(x - 4)⁷
• (x + 5)³(x - 9)²(x + 2)
• (x + 5)(x - 9)(x + 2)(x - 4)

Tags

CCSS.HSA.APR.B.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  

Tags

CCSS.HSA.APR.B.3

State the zeros of the polynomial (include multiplicity):
f(x) = x(x+3)²(x - 2)

• x = 0, 3, 2
• x = 0, -3 (multiplicity of 2), 2
• -3, 2
• 0, 2 (multiplicity of 3)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

For each function, determine the real zeros and state the multiplicity of any repeated zeros.

• {0 mult. 3, 5, 2}

• {−2 mult. 3, 3, 1}

• {0 mult. 3, 3, 2}

• {2 mult. 3, 3, 3}

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3