Intro to Polynomials and Solutions

• The function has an Even degree
• The function has a Negative coefficient
• The function has an Odd degree
• The function has 3 real zeros

• Positive Odd
• Positive Even
• Negative Odd
• Negative Even

• y=-(x+1)(x-2)(x-4)
• y=(x+1)²(x-3)(x-1)³
• y = 3x³ – 2x + 1
• y=(x+1)³(x-3)(x-1)²

Determine the y-intercept 
f(x) = x³ - 5x² - 25x + 125

• (0,0)

• (0,25)

• (0,125)

• (0,5)

What is the end-behavior of the function
y = -x³ + 6x² + 7x

• as x-> -∞  f(x) -> ∞
   as x-> ∞  f(x) -> -∞

• as x-> -∞ f(x) -> ∞
   as x-> ∞  f(x) -> ∞

• as x->-∞ f(x) -> -∞
   as x-> ∞   f(x) -> ∞

• as x-> -∞ f(x) -> -∞
   as x-> ∞ f(x) -> -∞

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)

What is the degree of the following polynomial?

• 5

• 6

• 7

• 9

• 4

• 6

• 7

• 2

• 9

• 10

• 11

• 12

What are the roots of the following polynomial?

• 4, -3, -8

• -4, -3, -8

• -4, 3, 8

• 4, 3, 8