200

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500

100

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100

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100

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100

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100

Remainder/Factor Theorem

EndBehavior

Zeros / Graphs

Polynomials Exponents

Remainder/Factor Theorem

100

MainGet Answer

•Use the Remainder Theorem to find f(3) for f(x) = 4x4 – 2x3 – 10x2 - 10

A. -10 B. -60

C. 125 D. 170

•Use the Remainder Theorem to find f(3) for f(x) = 4x4 – 2x3 – 10x2 - 10

A. -10 B. -60

C. 125 D. 170Main

Remainder/Factor Theorem

100

MainGet Answer

Divide 2x3 + 5x2 – 7x – 1 by (2x+3)

Remainder/Factor Theorem

200

Main

Remainder/Factor Theorem

200

Divide 2x3 + 5x2 – 7x – 1 by (2x+3)

x2 + x – 5 + _14__ (2x+3)

Remainder/Factor Theorem

300

MainGet Answer

Divide 3x3 + 16x2 + 21x + 22 by (x+4)

Remainder/Factor Theorem

300

Main

3x2 + 4x + 5 + _2__ (x+4)

Divide 3x3 + 16x2 + 21x + 22 by (x+4)

Remainder/Factor Theorem

400If I were to look in the dictionary under the

words “greatest” and “math teacher”, whose name would I see?

MainGet Answer

Remainder/Factor Theorem

400If I were to look in the dictionary under the

words “greatest” and “math teacher”, whose name would I see?

POLAND !

Come on guys, that was the easiest 400 points in the game!

Main

Remainder/Factor Theorem

500

MainGet Answer

Determine if (x – 2) is a factor of:

f(x) = 4x3 – 9x2 – 3x + 12

Remainder/Factor Theorem

500

Main

No, but you must prove it with synthetic division for your points!

Determine if (x – 2) is a factor of:

f(x) = 4x3 – 9x2 – 3x + 12

End Behavior

100

MainGet Answer

Describe the end behavior of

f(x) = -6x17 + 5x4 – 8x2 + 10

As x + , f(x) ______

As x - , f(x) ______

End Behavior

100

Main

Describe the end behavior of

f(x) = -6x17 + 5x4 – 8x2 + 10

As x + , f(x) ______

As x - , f(x) ______

End Behavior

200

MainGet Answer

Describe the end behavior of

f(x) = 6x38 + 5x3 – 8x + 11

As x + , f(x) ______

As x - , f(x) ______

End Behavior

200

Main

Describe the end behavior of

f(x) = 6x38 + 5x3 – 8x + 11

As x + , f(x) ______

As x - , f(x) ______

End Behavior

300

MainGet Answer

Describe the end behavior of

f(x) = -x156 + x3 – x

As x + , f(x) ______

As x - , f(x) ______

Name one zero. ________

End Behavior

300

Main

Describe the end behavior of

f(x) = -x156 + x3 – x

As x + , f(x) ______

As x - , f(x) ______

Name one zero. ________

x = 0

End Behavior

400

MainGet Answer

Sketch the graph.How many turning points?What are the x-intercepts?

f(x) = x3 – 4x2 + 4x

End Behavior

400

Main

Sketch the graph.How many turning points?What are the x-intercepts?

f(x) = x3 – 4x2 + 4x

(0, 0) and (2, 0)

(factor and set factors to 0—

What about multiplicity?)

Think about your ends.

End Behavior

500

MainGet Answer

What is your favorite subject?

a) Algebra 2 b) AlgebrA 2

c) Alg. 2 d) Math –

specifically Algebra 2

End Behavior

500

MainEasy choice! Of course no other subject was even a contender!

What is your favorite subject?

a) Algebra 2 b) AlgebrA 2

c) Alg. 2 d) Math –

specifically Algebra 2

Zeros / Graphs

100

MainGet Answer

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.

Zeros / Graphs

100

Main

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

Zeros / Graphs

200

MainGet Answer

Find all of the possible rational zeros of: f (x) = 3x5 + 2x4 – 7x2 – 9x + 5

Zeros / Graphs

200

Main

Find all of the possible rational zeros of: f (x) = 3x5 + 2x4 – 7x2 – 9x + 5

qp

31

35

Zeros / Graphs

300  

MainGet Answer

What are all the rational zeros of f(x) = x3 − 3x2 − 40x + 84?

(You must prove it with synthetic division.)

Zeros / Graphs

300

Main

What are all the rational zeros of f(x) = x3 − 3x2 − 40x + 84?

(You must prove it with synthetic division.)

Zeros / Graphs

400

MainGet 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.): _________

 

Zeros / Graphs

400

Main

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

nonenone

(-4,-5) or (-1,-2)

(-2, 4) or (1,4)

Zeros / Graphs

500

MainGet Answer

What are all of the zeros of:

f(x) = 2x3 – 11x2 + 8x – 15

Zeros / Graphs

500

Main

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.

2x2 – x + 3

Use quadratic formula:

4

231,5

ix

Polynomials

100

MainGet Answer

At most, how many roots does the following polynomial have?

f(x) = 5x4 – 2x3 + x2 - 7

Polynomials

100

Main

At most, how many roots does the following polynomial have?

f(x) = 5x4 – 2x3 + x2 - 7

Polynomials

200

MainGet Answer

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.

Polynomials

200

Main

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

Polynomials

300

MainGet Answer

If -6/11 is a zero of a polynomial function, what is a factor?

Polynomials

300

Main

If -6/11 is a zero of a polynomial function, what is a factor?

(11x + 6)

Polynomials

400

MainGet Answer

Find (-5x2 + 11x – 1) – (6x2 + 8x – 7)

Polynomials

400

Main

Find (-5x2 + 11x – 1) – (6x2 + 8x – 7)

-11x2 + 3x + 6

Polynomials

500

MainGet Answer

Factor 8x3 + 27

Polynomials

500

Main

Factor 8x3 + 27

(2x + 3)(4x2 – 6x + 9)

Exponents

100

MainGet Answer

(2y-5)(4x0)Simplify.

Exponents

100

Main

(2y-5)(4x0)Simplify.

5

8

y

Exponents

200

MainGet Answer

(-2x3y-3)2Simplify.

Exponents

200

Main

(-2x3y-3)2Simplify.

6

64

y

x

Exponents

300

MainGet Answer

61

33

6

3

yx

yx

Simplify.

Exponents

300

Main

61

33

6

3

yx

yx

Simplify.

9

4

2y

x

Exponents

400

MainGet Answer

(4x-2y)-2Simplify.

Exponents

400

MainMain

(4x-2y)-2Simplify.

2

4

16y

x

Exponents

500

MainGet Answer

4

5

6

8

yx

yxSimplify.

Exponents

500

Main

4

5

6

8

yx

yxSimplify.

3

4

3

4

y

x