Exploring Polynomials and Multiplicity

Find the zero(s) of the function.

• x = 1
• x = -3
• x = {-1, 3}
• x = 2

Tags

CCSS.HSF-IF.C.7A

Find the zeros of the function and graph.
y=(x + 2)(x - 3)(3x - 5)

• x=-2, x=3, x=5/3
• x=2, x=-3, x=-3/5
• x=2, x=-3, x=5/3
• x=-2, x=3, x=5

Tags

CCSS.HSF-IF.C.7C

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

• Constant
• Linear
• Quadratic
• Cubic

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

• -1

• -3

• -120

• 4

Describe the end behavior of
f(x) = -5x⁴ - 2x² + 8

• Left side: Rises  
   Right side: Rises
• Left Side:  Rises
  Right side: Falls
• Left side: Falls
  Right side: Rises
• Left side: Falls
  Right side: Falls

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

The domain of a polynomial function is always (-∞, +∞).

• True
• False

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 another way to say "where a function crosses the x-axis"?

• x-intercept
• zero
• root
• all of these.

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