Multiplicity Polynomials

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

• Cross the x-axis

• Turn on the x-axis

What are the zeros of the graph?

• -4, -1, 2, 1 multiplicity 2

• -4, -1, 1, 2

• 4, 1, -2, -1 multiplicity 2

• 4, 1, -1, -2

Which root/zero has even multiplicity?

• 1
• -4
• -1
• 2

• 2

• 1

• 4

• 3

• 2

• 4

• 6

• 1

If a zero of a polynomial function has multiplicity 4 that means:

• The x intercept is at (4, 0)

• The graph will "bounce back" at that zero

• The graph will "pass through" at that zero

• Zeros cannot have multiplicity of 4

Match the graph to the function

• f(x) = -x⁴-x³+5x²-6

• f(x) = x⁴+3x²-3x+1

• f(x) = -x³+2x²-x-6

• f(x) = x⁴+x³+5x²-6

f(x) = 2x³ - 3x² + 4x -10 State the maximum number of turns the graph of f(x) could make.

• 3

• 2

• 1

• 0

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

• 3

• 4

• 5

• 0

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

• Even

• Odd

• None