1. Remainder/
Factor Theorem
End
Behavior
Zeros /
Graphs
Polynomials
Exponents
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500

2. Remainder/Factor Theorem 100
Use the Remainder Theorem to find f(3)
for f(x) = 4x4 – 2x3 – 10x2 - 10
A B. -60
C D
Get Answer
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3. Remainder/Factor Theorem 100
Use the Remainder Theorem to find f(3)
for f(x) = 4x4 – 2x3 – 10x2 - 10
A B. -60
C D
Main

4. Remainder/Factor Theorem 200
Divide 2x3 + 5x2 – 7x – by (2x+3)
Main
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5. Remainder/Factor Theorem 200
Divide 2x3 + 5x2 – 7x – by (2x+3)
x2 + x – _14__
(2x+3)
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6. Remainder/Factor Theorem 300
Divide 3x3 + 16x2 + 21x by (x+4)
Main
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7. Remainder/Factor Theorem 300
Divide 3x3 + 16x2 + 21x by (x+4)
3x2 + 4x _2__
(x+4)
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8. Remainder/Factor Theorem 400
If I were to look in the dictionary under the words “greatest” and “math teacher”, whose name would I see?
Get Answer
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9. Remainder/Factor Theorem 400
If I were to look in the dictionary under the words “greatest” and “math teacher”, whose name would I see?
KAPLAN !
Come on guys, that was the easiest 400 points in the game!
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10. Remainder/Factor Theorem 500
Determine if (x – 2) is a factor of:
f(x) = 4x3 – 9x2 – 3x + 12
Get Answer
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11. Remainder/Factor Theorem 500
Determine if (x – 2) is a factor of:
f(x) = 4x3 – 9x2 – 3x + 12
No, but you must prove it with synthetic division for your points!
Main

12. End Behavior 100 Describe the end behavior of
f(x) = -6x17 + 5x4 – 8x2 + 10
As x  , f(x)  ______
As x  , f(x)  ______
Main
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13. End Behavior 100 Describe the end behavior of
f(x) = -6x17 + 5x4 – 8x2 + 10
As x  , f(x)  ______
As x  , f(x)  ______
Main

14. End Behavior 200 Describe the end behavior of
f(x) = 6x38 + 5x3 – 8x + 11
As x  , f(x)  ______
As x  , f(x)  ______
Main
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15. End Behavior 200 Describe the end behavior of
f(x) = 6x38 + 5x3 – 8x + 11
As x  , f(x)  ______
As x  , f(x)  ______
Main

16. End Behavior 300 Describe the end behavior of f(x) = -x156 + x3 – x
As x  , f(x)  ______
As x  , f(x)  ______
Name one zero. ________
Main
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17. End Behavior 300 Describe the end behavior of f(x) = -x156 + x3 – x
As x  , f(x)  ______
As x  , f(x)  ______
Name one zero. ________
x = 0
Main

18. End Behavior 400 No Calculator ! Sketch the graph.
How many turning points?
What are the x-intercepts?
f(x) = x3 – 4x2 + 4x
No Calculator !
Main
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19. End Behavior 400 No Calculator ! Sketch the graph.
How many turning points?
What are the x-intercepts?
f(x) = x3 – 4x2 + 4x
Think about your ends. 2
(0, 0) and (2, 0)
(factor and set factors to 0—
What about multiplicity?)
No Calculator !
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20. End Behavior 500 What is your favorite subject? Algebra 2 b) AlgebrA 2
c) Alg d) Math –
specifically Algebra 2
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21. End Behavior 500 What is your favorite subject? Algebra 2 b) AlgebrA 2
c) Alg d) Math –
specifically Algebra 2
Easy choice! Of course no other subject was even a contender!
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22. Zeros / Graphs 100 Write a polynomial function of least degree that:
has real coefficients,
the given zeros of: 1, -1, -7
and a leading coefficient of 1.
Put the polynomial in standard form.
Main
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23. Zeros / Graphs 100 Write a polynomial function of least degree that:
has real coefficients,
the given zeros of: 1, -1, -7
and a leading coefficient of 1.
Put the polynomial in standard form.
x3 + 7x2 – x – 7
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24. Zeros / Graphs 200 Find all of the possible rational zeros of:
f (x) = 3x5 + 2x4 – 7x2 – 9x + 5
Main
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25. Zeros / Graphs 200 Find all of the possible rational zeros of:
f (x) = 3x5 + 2x4 – 7x2 – 9x + 5
1, 5 = = 1, , 5,
1, 3
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26. Zeros / Graphs 300 What are all the rational zeros of
What are all the rational zeros of
f(x) = x3 − 3x2 − 40x ?
(You must prove it with synthetic division.)
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27. Zeros / Graphs 300 What are all the rational zeros of
f(x) = x3 − 3x2 − 40x ?
(You must prove it with synthetic division.) -6 2 7
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28. Zeros / Graphs 400 Main Get Answer
Use the graph to the right to answer the following:
End Behavior: As x  +, f(x)______________
  As x  -, f(x)______________
# Turning Points: _________________________
Degree of polynomial: _________________
You must give me the coordinate (if any) in the following:
Absolute Min: _______ Relative Min (Name one.): __________
Absolute Max: _______ Relative Max (Name one.): _________
Main
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29. Zeros / Graphs 400 - + 4 5 none none Main (-4,-5) or (-1,-2)
Use the graph to the right to answer the following:
End Behavior: As x  +, f(x)______________
  As x  -, f(x)______________
# Turning Points: _________________________
Degree of polynomial: _________________
You must give me the coordinate (if any) in the following:
Absolute Min: _______ Relative Min (Name one.): __________
Absolute Max: _______ Relative Max (Name one.): _________ - + 4 5
none
(-4,-5) or (-1,-2)
none
(-2, 4) or (1,4)
Main

30. Zeros / Graphs 500 What are all of the zeros of:
f(x) = 2x3 – 11x2 + 8x – 15
Main
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31. Zeros / Graphs 500 What are all of the zeros of:
f(x) = 2x3 – 11x2 + 8x – 15
Graph to find that 5 is a zero. Synthetically divide out the 5.
Use quadratic formula: 5
2x2 – x + 3
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32. Polynomials
At most, how many roots does the following polynomial have?
f(x) = 5x4 – 2x3 + x2 - 7
Main
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33. Polynomials
At most, how many roots does the following polynomial have?
f(x) = 5x4 – 2x3 + x2 - 7 4
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34. Polynomials
Create a polynomial with the following characteristics:
quartic, leading coefficient is 9, quadratic coefficient is 4,
linear coefficient is –5 and the constant term is –2.
Main
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35. Polynomials
Create a polynomial with the following characteristics:
quartic, leading coefficient is 9, quadratic coefficient is 4,
linear coefficient is –5 and the constant term is –2.
9x4 + 4x2 – 5x – 2
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36. Polynomials 300 Daily Double !
If -6/11 is a zero of a polynomial function,
what is a factor?
Daily Double !
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37. Polynomials 300 Daily Double !
If -6/11 is a zero of a polynomial function,
what is a factor?
(11x + 6)
Daily Double !
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38. Polynomials
Find (-5x2 + 11x – 1) – (6x2 + 8x – 7)
Get Answer
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39. Polynomials 400 Find (-5x2 + 11x – 1) – (6x2 + 8x – 7) -11x2 + 3x + 6
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40. Polynomials
Factor 8x3 + 27
Get Answer
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41. Polynomials
Factor 8x3 + 27
(2x + 3)(4x2 – 6x + 9)
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42. Exponents 100
Simplify.
(2y-5)(4x0)
Get Answer
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43. Exponents 100
Simplify.
(2y-5)(4x0)
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44. Exponents 200
Simplify.
(-2x3y-3)2
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45. Exponents 200
Simplify.
(-2x3y-3)2
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46. Exponents 300
Simplify.
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47. Exponents 300
Simplify.
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48. Exponents 400
Simplify.
(4x-2y)-2
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49. Exponents 400
Simplify.
(4x-2y)-2
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50. Exponents 500
Simplify.
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51. Exponents 500
Simplify.
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