Multiplicity and Graphing Polynomials in Factored Form

f(x) = (x+2)(x-3)²(x-4) Which choice best describes the zeros?

• -2, 3 (multiplicity 2), 4

• -2 (multiplicity 2), 3, 4

• 2, -3 (multiplicity 2), -4

• 2 (multiplicity 2), -3, -4

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

• (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)

If the graph of a function crosses the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

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

• Even

• Odd

• None

• The function has an Even degree
• The function has a Negative coefficient
• The function has an Odd degree
• The function has 3 real zeros

• 1

• 2

• 3

• 4

Which polynomial has this type of end behavior?

Solve for the values of x:
(x - 5)(x - 1) = 0

• { 5, 1 }

• { 5, -1 }

• { -5, 1 }

• { -5, -1 }

Solve (2x -8) (x + 5) = 0 

• x = 5, x = 8

• x= -4, x = 5

• x= 4, x = -5

• x= -5, x = -8

Find the values of the zeros of the function y=(x+2)(x-3)(3x-5)

• x=-2, x=3, x=5/3

• x=2, x=-3, x= -5/3

• x=-2, x=3, x=3/5

• x=2, x=-3, x=-3/5