Polynomials in Factored Form

State the zeros of the polynomial (include multiplicity):
f(x) = x(x+3)²(x - 2)

• x = 0, 3, 2
• x = 0, -3 (multiplicity of 2), 2
• -3, 2
• 0, 2 (multiplicity of 3)

Tags

CCSS.HSF-IF.C.7C

What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?

• -4, -1, 3
• 3, -3, 4, 1
• 4, 1, -3
• 3, -4, -1, 3

Tags

CCSS.HSF-IF.C.7C

f(x)= x²(x – 2)³(x – 7)

Find and select each real zero and its multiplicity

• 0 (Mult of 2), 2 (Mult of 3), 7 (mult 1)
• 2 (Mult of 3), 7 (mult 1)
• 0, 2, 7
• 2 (mult of 2), 7 (mult of 3)

Tags

CCSS.HSF-IF.C.7C

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

• Even

• Odd

• None

Tags

CCSS.HSF-IF.C.7C

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

• Even

• Odd

• None

Does the graph on the right have an even or odd multiplicity and x = -1?

• odd

• even

Which root has even multiplicity?

• 1
• -4
• -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)(x-2)(x+4)

• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

In the above graph, which root has a multiplicity of 2?

• -1

• -3

• -120

• 4

Please select the solution that describes if zeros crosses or turns(bounces)

at the x-axis for each x-intercept.

• 2 crosses, 1 crosses, -3 turns, -4 turns   
• 1 crosses, -3 turns, - 4 crosses
• 1 crosses, -3 turns, -4 turns  
• 1 turns, -3 crosses, -4 crosses