Exploring Polynomials and Multiplicity

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

Tags

CCSS.HSF-IF.C.7C

Which root has even multiplicity?

• 1
• -4
• -1
• 2

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

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

Tags

CCSS.HSF-IF.C.7C

• 2

• 1

• 4

• 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

What is the multiplicity of the zero x=-5 for the function f\left(x\right)=x^2\left(x-1\right)^4\left(x+5\right)?

• 1

• 2

• 3

• 4

Tags

CCSS.HSF-IF.C.7C

Which of the following could be the equation of this graph in factored form? (Be careful and 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

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)

Tags

CCSS.HSA.APR.B.3

Which zero has an odd multiplicity?

• -4

• 4

• 2

• -2