Polynomial End and Local Behavior

• 4th degree polynomial with a positive leading coefficient
• 4th degree polynomial with a negative leading coefficient
• 3rd degree polynomial with a positive leading coefficient
• 3rd degree polynomial with a negative leading coefficient

Which of the following correctly identifies the End Behavior?

• 
• 
• 
• 

Which of the following correctly identifies the End Behavior?

• 
• 
• 
• 

What are the decreasing interval(s)?

• (- ∞, 0) & (2, ∞ )

• (-1, 0) & (2,-4)

• (0,2)

• (0, -4) & (0, 2)

Write a 4th degree polynomial function with:
*a positive leading coefficient
*zeros: 9, 3, -2, 0

• y = x(x - 9)(x - 3)(x + 2)

• y = x(x + 9)(x + 3)(x - 2)

• y = -x(x - 9)(x - 3)(x + 2)

• y = -x(x + 9)(x + 3)(x - 2)

f(x) = (x-4)²(x+1)

• Even Degree
  - Leading Coeff.

• Even Degree
  + Leading Coeff.

• Odd Degree
  - Leading Coeff.

• Odd Degree
  + Leading Coeff.

Is the leading coefficient positive or negative

• positive

• negative

Which choice best describes the zeros?

• -2, 3 (multiplicity 2), 4

• -2 (multiplicity 2), 3, 4

• 2, -3 (multiplicity 2), -4

• 2 (multiplicity 2), -3, -4

How could you determine    if x-2 is a factor of 2x³-5x²+x-2?

• Use synthetic division and see if the quotient is even

• Ask the person sitting next to me

• Use synthetic division and see if the remainder is zero

• Flip a coin

If a zero of a polynomial function has multiplicity 4 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