4.1 Day 2 Practice

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

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

Which of the following MUST be true about 
the graph shown.

• It has a degree of
  exactly 3
• It has a degree of
  AT LEAST 3
• It has a degree of
  AT LEAST 5
• It has a degree
  of exactly 5

Which of the following best suits the statement for the graph shown:
This polynomial
will have an even degree.

• Sometimes
• Always 
• Never
• Cannot be determined

Which of the following best suits the statement for the graph shown:
This polynomial
will have degree 3.

• Sometimes
• Always 
• Never
• Cannot be determined

Which statements are true about y=2(x-3)(x+1)²?

• 3 is a zero of the function.

• The function will cross the x-axis at x = -1.

• The function has a degree of 3.

• The function has an x-intercept at x = -3.

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

• touches and bounces back

• wiggle

• crosses the x-axis

Which root has even multiplicity?

• 1
• -4
• -1
• 2

What are the zeros of the polynomial function?
y = x(x - 6)(x + 5)

• 0, 6, -5
• 6, -5
• 0, -6, 5
• 1, -6, 5

What are the roots of the polynomial function?
y = (x + 2)(x - 7)³

• -2, 7 multiplicity 3
• -2, 7, 3
• 2, -7 multiplicity 3
• 2, -7, 3