Zeros
Division and
remainder thm
remainder thm
End Behavior
Multiplicity
Mystery
100
Identify the zeros of the following polynomials:
f(x) = (x + 3)(x - 2)(x + 7)
x=-3, x=2, x=-7
100
Divide the following polynomial:
(x^3+x^2-22x-40) divide (x+2)
x2-x-20
100
Describe and sketch the end behavior of the following polynomial:
Deg:
LC:
f(x)=(4x+3)(x-1)
Deg: 2, even
Positive
UP, UP
100
Describe the multiplicity of each factor (Does it turn or cross and at what value?):
(x-6)(x+4)^3
(x-6) - cross at x=6
(x+4) - cross at x=-4
100
True or false: Is the polynomial in standard form? If not, put it into standard form.
x^4+3x^3+2+x+5x^5+8x^2
False
5x^5+x^4+3x^3+8x^2+x+2
200
John, Paul, George, and Ringo made up which band?
The Beatles
200
Use the remainder theorem to evaluate (x - 4):
What does the answer tell you about (x - 4)
f(x)=2x^3-4x^2-7x-10
remainder = 26
(x - 4) is not a factor
200
What was the degree (even or odd), and was the following function positive or negative:
odd degree, positive
200
Determine the multiplicity of the following polynomials:
y=(x+2)^2(x-1)
x = -2
Multiplicity: Even or Odd
Behavior: Cross or Turn
x = 1
Multiplicity: Even or Odd
Behavior: Cross or Turn
x = -2
Even, Turn
x = 1
Odd, Cross
200
Before Mount Everest was discovered, what was the tallest mountain in the world?
Mount Everest
300
Identify the zeros of the following polynomials:
f(x) = x (x - 10)(x - 9)(x + 1)
x=0, x=10, x=9, x=-1
300
Only one of the two Chicago baseball won more games than they lost this season. The second team has actually lost over 100 games the pass two seasons. What is the name of the team that has won more?
Chicago Cubs
300
Describe and sketch the end behavior of the following polynomial:
Deg:
LC:
f(x)= x^2(x+3)^3
Deg: 5, odd
Positive
DOWN, UP
300
Describe the multiplicity of each factor (Does it turn or cross and at what value?):
(x-4)^2(x+9)
(x-4) - turn at x=4
(x+7) - cross at x=-9
300
is (x+7) a factor of
x^3+2x^2-41x-42
? How do you know?
Yes since there is no remainder!
400
Given the following x-intercepts, write the factored form expression:
x=0, x=3, x=2/3, x=-6
f(x) = x (x - 3)(x - 2/3)(x + 6)
400
Use the remainder theorem to evaluate (x - 3):
What does the answer tell you about (x - 3)
f(x)=-2x^3+8x^2-3x-9
Remainder = 0
(x - 3) is a factor because there is no remainder
400
What was the degree (even or odd), and was the following function positive or negative:
Even degree, positive
400
Determine the multiplicity of the following polynomials:
y=(x+5)(x+4)^3
x = -5
Multiplicity: Even or Odd
Behavior: Cross or Bounce
x = -4
Multiplicity: Even or Odd
Behavior: Cross or Bounce
x = -5
Odd, Cross
x = -4
Odd, Cross
400
What should you say if you ever meet Jack Black?
Chicken Jockey!
500
Identify the zeros of the following polynomials:
f(x) = 3x (2x - 1)(3x - 2)(x - 7)
x=0, x=1/2, x=2/3, x=7
500
Divide the following polynomial twice given that (x+2) and (x-1) are factors:
x4+9x3+21x2-x-30
x2+8x+15
500
Describe and sketch the end behavior of the following polynomial:
Deg:
LC:
f(x)= 5x(4x+3)^3(x-1)^2
Deg: 6, even
Positive
UP, UP
500
Describe the multiplicity of each factor (Does it turn or cross and at what value?):
x^3(x-5)(x-5)(x+7)
x - cross at x=0
(x - 5) - turn at x=5
(x + 7) - cross at x=-7
500
6
7