Graphs of Polynomials Review

If a zero of a polynomial function has multiplicity 2 (is a double), that means:

• There is a zero at 2

• The graph will "bounce" off the x-axis at that zero

• The graph will "cross" the x-axis at that zero

• Double zeros don't exist

Which root has a multiplicity of 2?

• -1

• 2

• 4

• -4

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)

• A.
• B.
• C.
• D.

• y = -x⁴ + 5x³ + 2
• y = -x³
• y = x³ - 3x - 2
• y = -x³ + 3x + 2

• A.
• B.
• C.
• D.

• A.
• B.
• C.
• D.

• (1, 4)
• (0, 2)
• (-1, 0)
• (2, 0)

• (0, 4)
• (2, 0)
• (0, 2)
• (-1, 0)

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