Zeros & 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

Tags

CCSS.HSA.APR.B.3

The degree of a polynomial determines...

• the maximum number of x-intercepts

• the number of turning points

• if the end behavior is up or down

• the y-intercept

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.HSA.APR.B.2

CCSS.HSA.APR.B.3

Classify the function:

• quadratic
• cubic 
• quartic
• linear

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.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

Tags

CCSS.HSA.APR.B.3

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

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

Tags

CCSS.HSA.APR.B.3

Which one of these are not a zero of  $f\left(x\right)=x^2\left(x-1\right)^2\left(x+5\right)$  ?

• 0

• 1

• -5

• -1

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Which one of these are not a zero of  $f\left(x\right)=-2x\left(3x+1\right)^2\left(x+7\right)^7$  

• -2
  

• 0

•  $-\frac{1}{3}$  

• -7

Tags

CCSS.HSA.APR.B.3