This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

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This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Transcript of This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Page 1: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Page 2: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

MISC.

500

400

300

200

100

PolynomialNo Calc

500

100

200

300

400

PolynomialCalc O.K.

500

400

300

200

100

Page 3: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Backf(x)=??

(-3,0)

(-8,0)

(3,0)

(0,4)

f(x)=(-1/432)(x+8)2 (x+3)2(x-3)

Page 4: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Givenf(x) =(x-2)2(x+1)3(x-3)As x - f(x) As x f(x) Sketch the graph of f(x) using the intercepts.f(x) =(x-2)2(x+1)3(x-3)

Page 5: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Write a quartic polynomial with the the only real zero of 1. You also know 1-i is a complex zero.g(x)=x4 -4x3+7x2-6x+2

work

Page 6: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Find a cubic function with integral coefficients that has no quadratic term if one root is 3 + i2y=x3-25x+66

Page 7: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

If p(x) = x4 – 8x2 – 8x – 1 List at least 3 things that p(-3) represents.

Back

Page 8: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

If three of the zeros of g(x) are -1,3, and 2 - i. Find the other zeros. g(x)=x6-6x5+14x4

-22x3+25x2+8x-60 2 + i, 2i, -2i

Page 9: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Givenk(x) =2x4 +15x3 –126x2 +759x –350 Write as a product of linear terms.

Page 10: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Factor completely.

y = 3x4 + 10x3+24x2+22x+5

Page 11: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

•Find all zeros.

8292)( 234 xxxxxp

-4,-1,1,2

Page 12: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Write a cubic polynomial function with integer coefficients and positive leading coefficient whose zeros are -1/3, 0, and 2/5.

y = 15x3 - x2 - 2x

Page 13: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Find the polynomial equation with integer coefficients of least degree, and positive leading coefficient as small as possible, for which 1 - 2i is a double root.x4-4x3+14x2-20x+25

work

Page 14: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Find “k” so that (x+1) is a factor ofj(x) =2x3+(k+1)x2-6kx- 11

K= 12/7

Page 15: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

What is the remainder when 2x4-9x2+17x+3 is divided by (x+3)?

R(x)=33

Page 16: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

If r(x) =6x4-4x3+14x2 -20x+25 The sum of the zeros is ___,the product of the zeros is___, the product taken two at a time is ___, taken three at a time is __.

Page 17: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

If r(x) =6x4-4x3+14x2 -20x-25 Descartes says…The rational root theorem says …

Page 18: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Review: pp. 232-33 # 23,29 without the calculator graph using the intercepts, 47,52

p. 276 # 1 – 7 Fill in the blank

p. 277 # 1,2,4,5 True/False

p. 277 – 78 # 1,3,35,39,55

CALC QUIZ WED (20 minutes, 15 pts)

NO CALC QUIZ THUR (50 minutes, 35 points)

Page 19: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Handout 1

Page 20: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Non Calculator quiz.• Polynomials: End behavior,

Descartes’ Rule of Signs, Rational Zeros Test, Factor and Remainder Thm

Calculator quiz: Find all zeros and completely factor.

Page 21: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Polynomial No Calc 100

Page 22: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Polynomial No Calc 200

Page 23: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Polynomial No Calc 300

Page 24: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Polynomial No Calc 400

Page 25: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Polynomial No Calc 500

Page 26: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Polynomial 100

Page 27: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Polynomial 200

Page 28: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Polynomial 300

Page 29: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Polynomial 400

Page 30: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Polynomial 500

Page 31: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.
Page 32: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Misc 100

Page 33: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Misc 200

Page 34: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Misc 300

Page 35: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Misc 400

Page 36: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Misc 500

Page 37: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.
Page 38: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Backf(x)=??

(-3,0)

(-8,0)

(3,0)

(0,4)

f(x)=(-1/432)(x+8)2 (x+3)2(x-3)

Page 39: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Givenf(x) =(x-2)2(x+1)3(x-3)As x - f(x) As x f(x) Sketch the graph of f(x) using the intercepts.f(x) =(x-2)2(x+1)3(x-3)

Page 40: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Write a quartic polynomial with the the only real zero of 1. You also know 1-i is a complex zero.g(x)=x4 -4x3+7x2-6x+2

Page 41: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Find a cubic function with integral coefficients that has no quadratic term if one root is 3 + i2y=x3-25x+66

Page 42: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

If p(x) = x4 – 8x2 – 8x – 1 List at least 3 things that p(-3) represents.

Back

Page 43: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

If three of the zeros of g(x) are -1,3, and 2 - i. Find the other zeros. g(x)=x6-6x5+14x4

-22x3+25x2+8x-60 2 + i, 2i, -2i

Page 44: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Givenk(x) =2x4 +15x3 –126x2 +759x –350 Write as a product of linear terms.

Page 45: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Factor completely.

y = 3x4 + 10x3+24x2+22x+5

Page 46: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

•Find all zeros.

8292)( 234 xxxxxp

-4,-1,1,2

Page 47: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Write a cubic polynomial function with integer coefficients and positive leading coefficient whose zeros are -1/3, 0, and 2/5.

y = 15x3 - x2 - 2x

Page 48: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Find the polynomial equation with integer coefficients of least degree, and positive leading coefficient as small as possible, for which 1 - 2i is a double root.x4-4x3+14x2-20x+25

Page 49: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Find “k” so that (x+1) is a factor ofj(x) =2x3+(k+1)x2-6kx- 11

K= 12/7

Page 50: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

What is the remainder when 2x4-9x2+17x+3 is divided by (x+3)?

R(x)=33

Page 51: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

If r(x) =6x4-4x3+14x2 -20x+25 The sum of the zeros is ___,the product of the zeros is___, the product taken two at a time is ___, taken three at a time is __.

Page 52: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

If r(x) =6x4-4x3+14x2 -20x-25 Descartes says…The rational root theorem says …

Page 53: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Review: pp. 232-33 # 1-30

PP. 277 # 1-20,25-56 ARE PROBLEMS THAT YOU MAY SEE, ALONG PROBLEMS DISCUSSED IN CLASS.

Page 54: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Write a quartic polynomial with the the only real zero of 1. You also know 1-i is a complex zero.

Page 55: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

Back

Find the polynomial equation with integer coefficients of least degree, and positive leading coefficient as small as possible, for which 1 - 2i is a double root.

x4-4x3+14x2-20x+25

Page 56: This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.