Writing and Graphing Polynomials

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

How many zeros does the polynomial function
 P(x) = 3x⁴+4x-8 have?

• 1
• 2
• 3
• 4

Tags

CCSS.HSA.APR.B.3

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

• 2
• 1
• 4
• cannot be determined

Tags

CCSS.HSA.APR.B.2

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) -> -∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Select polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4
Degree: 7

• (x + 5)³(x - 9)²
  (x + 2)(x - 4)
• (x + 5)³(x - 9)²
  (x + 2)⁷(x - 4)⁷
• (x + 5)³(x - 9)²(x + 2)
• (x + 5)(x - 9)(x + 2)
  (x - 4)

Tags

CCSS.HSA.APR.B.3

Which of the following MUST be true about 
the graph shown.

• It has a degree of
  exactly 3
• It has a degree of
  AT LEAST 3
• It has a degree of
  AT LEAST 5
• It has a degree
  of exactly 5

Tags

CCSS.HSA.REI.D.10

Which of the following allows you to describe the end behavior of a polynomial?

• the degree and the constant
• the leading coefficient and the constant
• degree and the variable
• the degree and the leading coefficent

Tags

CCSS.HSF.IF.C.7

What are the zeros (x-intercepts)?

• x = 2,-2
• x = 2,-2,0
• x = 2,0
• x = -4,-2,2,0

Tags

CCSS.HSF-IF.C.7C