Alg II IM - U2L14&15- Graphing Polynomials and Remainder Theorem

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

Identify the zeros:

• x=-2, x=-1, x=0
• x=-2, x=0
• x=-1, x=0, x=2
• x=-2, x=0, x=1

• 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

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)

Tags

CCSS.HSA.APR.B.3

Which of the following could be the equation of the graph in factored form?

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

Tags

CCSS.HSA.APR.B.3

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) -> -∞

What is the end-behavior of the function 
y = x⁶ - 7x⁵ + 7x - 9

• 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 factored form for the equation representing the graph shown?

• (x+3)(x-2)(x-5)
• (x-5)²(x-2)(x+3)
• (x-3)(x+2)(x+5)²
• none of these

Tags

CCSS.HSA.APR.B.3