Graphing Polynomial Functions, Zeros, & Multiplicity

Classify by degree of polynomial:
3x² – 8x + 1

• Constant
• Linear
• Quadratic
• Cubic

What is the standard form of the polynomial,
7x - 125 - 6x⁴ + 14x²

• 125 + 7x - 14x² +6x⁴
• 6x⁴  -14x² - 7x +125
• 125 + 14x² + 7x  - 6x⁴
• -6x⁴+ 14x² + 7x - 125

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• (-2.55, 0), (2.55, 0)
• (-3, 0), (-2, 0), (2, 0), (3, 0)
• (0, 36)
• (0, -3), (0, -2), (0, 2), (0, 3)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

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

• -1

• -3

• -120

• 4

Tags

CCSS.HSA.APR.B.3

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

• Even Degree
  - Leading Coeff.
• Even Degree
  + Leading Coeff.
• Odd Degree
  - Leading Coeff.
• Odd Degree
  + Leading Coeff.

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

What is the factored form of a function if it has zeros of 2, 3 and -1?

• (x-2)(x-3)(x+1)
• (x-1)(x-2)(x-3)
• (x-1)(x+2)(x+3)
• (x+1)(x+2)(x+3)

Tags

CCSS.HSA.APR.B.3

What is the leading coefficient?

• Positive 
• Negative

Tags

CCSS.HSA.APR.A.1

f(x)=(x+4)(x-3)(x-2)

List the zeros for this function.

• x=-4, x=3, x=-2

• x=-4, x=3, x=2

• x=-4, x=3, x=-2

• x=4, x=3, x=2

Tags

CCSS.HSF-IF.C.7C

If a zero of a polynomial function has multiplicity 3 that means:

• The x intercept is at (4, 0)

• The graph will "bounce back" at that zero

• The graph will "pass through" at that zero

• Zeros cannot have multiplicity of 4

Tags

CCSS.HSA.APR.B.3