polynomial graphs

What does multiplicity of a zero mean?

• Look at the number of terms
• How many times the zero repeats
• Find the sum of all the coefficients
• Ratio your x and y

What is another way to say "where a function crosses the x-axis"?

• x-intercept
• zero
• root
• all of these.

• The function has an Odd degree
• The function has an Even degree
• The function has 5 real zeros
• The function has a Positive coefficient

What are the zeros of the polynomial and state their multiplicity at each.
y = (x - 5)(x + 2)²

• x = 5 multi 1,  x = 2 multi 2
• x = -5 multi 2, x = -2 multi 1
• x = 5 multi 1, x = -2 multi 2
• x = 5 multi 2, x = -2 multi 1

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

Identify the zeros:

• x=-2, x=-1, x=0
• x=-2, x=0
• x=-1, x=0, x=2
• x=-2, x=0, x=1

• A
• B
• C
• D

• The function is Positive and Even
• The function is Negative and Even
• The function is Negative and Odd
• The function is Positive and Odd

• a
• b
• c
• d

Which equation could represent the graph?

• y=-(x+1)(x-2)(x-4)
• y=(x+1)²(x-3)(x-1)³
• y = 3x³ – 2x + 1
• y=(x+1)³(x-3)(x-1)²