Polynomials and Rational Functions Review

What is the degree of the function graphed?

• 5

• 1

• 3

• 2

Tags

CCSS.HSA.APR.B.3

Match the graph to the function

• f(x)= -x²+3x+2
• f(x) = -x³+2
• f(x) = x³+2
• f(x) = ⅓x⁴-5x²+2

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Possible factored form of f(x)

Tags

CCSS.HSA.APR.B.3

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Tags

CCSS.HSA.REI.D.10

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Tags

CCSS.HSA.REI.D.10

A polynomial  factors as 
 f(x) =  x³(x + 1)²(x - 4). List the zeros of f(x) and their multiplicity.

• 0 multiplicity 3, 1 multiplicity 2, -4 multiplicity 1
• 0 multiplicity 3, -1 multiplicity 2, 4 multiplicity 1
•  1 multiplicity 2, -4 multiplicity 1
•  -1 multiplicity 2, 4 multiplicity 1

Tags

CCSS.HSF-IF.C.7C

Write the polynomial in standard form given the zeros, x=0, -2, 1

Tags

CCSS.HSA.APR.B.3

(2x³ + 7x² - 6x - 8) ÷ (x+ 4)

• 2x² - x - 2
• 2x³ - x² - 2x
• 2x² + 15x + 54 + 208/x+4
• 2x³ + 15x² + 54x + 208

Tags

CCSS.HSA.APR.D.6

If (x + 3) divides a polynomial function evenly, then which of these is known to be a zero of the polynomial?

• x = -3
• x = 3
• x = 0
• cannot be determined

Tags

CCSS.HSA.APR.B.2

            Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.
• No, (x-2) is  not a factor. The remainder is zero.
• Yes, (x-2) is a factor. The remainder is zero.
• No, (x-2) is  not a factor. There is a remainder. 

Tags

CCSS.HSA.APR.B.2