Graphing Polynomials Quiz

f(x)=(x+4)(x-3)(x-2)

List the zeros for this function.

• x= -4, x=3, x= -2

• x= -4, x=3, x=2

• x= -4, x=-3, x=2

• x=4, x= -3, x= -2

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

What is TRUE about the graph?

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

What is the degree of the polynomial graphed? Is it positive or negative?

• Positive

  Degree: 3

• Positive

  Degree: 2

• Negative

  Degree: 3

• Negative

  Degree: 2

What is the Factored Form for this graph? (Hint: does it have a multiplicity?)

• 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

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

• 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)

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 the end-behavior of the function 
y = -x³ + 6x² + 7x

What is the end-behavior of the function 
y = x⁴ - 7x³ + 7x - 9

Which of the following could be the factored form for the equation representing the graph shown?

• (x+3)(x-2)(x-5)
• (x-5)²(x-2)(x+3)
• (x-3)(x+2)(x+5)²
• none of these