Find the Zeros and Multiplicity of Factored Form Polynomial

Which of the following is a completely factored polynomial?

• f(x)=2x⁴-3x³+8x-6

• f(x)=x²(x-1)(x+3)

• f(x)=x(x²-16)

• f(x)=(2x+1)(x²-3x-18)

Which best describes the multiplicity of a root?

• It is the number of times the corresponding factor is repeated

• It is the highest degree of the polynomial

• It is the number of times x is multiplied by itself

• It is the number of x-intercepts on a graph

Tags

CCSS.HSF-IF.C.7C

What are the zeros and multiplicity for the graph?

• 4, 3(mult. 2), -1 (mult. 3)

• -4, -3(mult. 2), 1 (mult. 3)

• 4, 3(mult. 3), -1 (mult. 2)

• -4, -3(mult. 2), 1 (mult. 2)

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 could be the function for this graph in factored form?

• f(x) = (x-4)²(x+2)

• f(x) = (x+4)²(x-2)

• f(x) = (x-4)(x+2)²

• f(x) = (x+4)(x-2)²

Tags

CCSS.HSA.APR.B.3

What is the multiplicity of the root 2 in the following graph?

• 1

• 2

• 3

• 4

• 2
• 1
• 4
• cannot be determined

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

• A
• B
• C
• D