Finding Zeros and Multiplicity

Which of the following could be the equation of the graph in factored form?

• y=-(x+1)(x-2)(x-4)

• y=(x+1)²(x-2)
  (x-4)³

• y = x(x+1)(x-2)
  (x-4)

• y=(x+1)³(x-3)
  (x-1)²

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

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

• Cross the x-axis

• Turn on the x-axis

• 0

• 1

• -5

• -1

How does a multiplicity of 2 affect the graph?

• cross

• bounce

• wiggle (change direction)

How does a multiplicity of 1 affect the graph?

• bounce

• cross

• wiggle (change direction)

A polynomial function has zeros at -1,2, and 7 (all multiplicity of 1). Write a function rule that could represent this function.

Which root has even multiplicity?

• 1
• -4
• -1
• 2

How do you find the x-intercepts of a rational function graph?

• Set numerator equal to 0

• Set denominator equal to 0

• Plug in 0

• Use Degrees and their rules

What method do you use to find zeros of a polynomial function?

• Guess

• Multiply factors

• Synthetic Division

• Look at end behavior