Multiplicity of Polynomials and Graphs

If a zero of a polynomial function has multiplicity 2 that means:

• The x intercept is at (2, 0)

• The graph will "bounce back" at that zero

• The graph will "pass through" at that zero

• Zeros cannot have multiplicity of 2

• 2

• 1

• 3

• 0

What are the zeros of the function?

• 4,1

• 3,1,-2,-5

• -3, -1, 2, 5

• -2,4

Find the root(s) of the function.

• x = 3

• x = -3, -1, 2

• x = -3, 2

• x = -1

Tags

CCSS.HSF-IF.C.7C

What are the zeros of the graph?

• -4, -1, 2, 1 multiplicity 2

• -4, -1, 1, 2

• 4, 1, -2, -1 multiplicity 2

• 4, 1, -1, -2

Tags

CCSS.HSA.APR.B.3

For each function, determine the real zeros and state the multiplicity of any repeated zeros.

• {0 mult. 3, 5, 2}

• {−2 mult. 3, 3, 1}

• {0 mult. 3, 3, 2}

• {2 mult. 3, 3, 3}

Tags

CCSS.HSF-IF.C.7C

Which roots have even multiplicity?

• -3

• 0

• 2

• Cannot be determined

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)

Tags

CCSS.HSA.APR.B.3

y =  ^_(x + 2)(x - 1)² y = -(x - 2)(x + 1)² y = (x - 2)(x + 1)² y = -x³

• y =  ^_(x + 2)(x - 1)²

• y = -(x - 2)(x + 1)²

• y = (x - 2)(x + 1)²

• y = -x³

Tags

CCSS.HSA.APR.B.3

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