This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.
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Transcript of 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.
MISC.
500
400
300
200
100
PolynomialNo Calc
500
100
200
300
400
PolynomialCalc O.K.
500
400
300
200
100
Backf(x)=??
(-3,0)
(-8,0)
(3,0)
(0,4)
f(x)=(-1/432)(x+8)2 (x+3)2(x-3)
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)
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
Back
Find a cubic function with integral coefficients that has no quadratic term if one root is 3 + i2y=x3-25x+66
If p(x) = x4 – 8x2 – 8x – 1 List at least 3 things that p(-3) represents.
Back
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
Back
Givenk(x) =2x4 +15x3 –126x2 +759x –350 Write as a product of linear terms.
Back
Factor completely.
y = 3x4 + 10x3+24x2+22x+5
Back
•Find all zeros.
8292)( 234 xxxxxp
-4,-1,1,2
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
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
Back
Find “k” so that (x+1) is a factor ofj(x) =2x3+(k+1)x2-6kx- 11
K= 12/7
Back
What is the remainder when 2x4-9x2+17x+3 is divided by (x+3)?
R(x)=33
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 __.
Back
If r(x) =6x4-4x3+14x2 -20x-25 Descartes says…The rational root theorem says …
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)
Handout 1
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.
Polynomial No Calc 100
Polynomial No Calc 200
Polynomial No Calc 300
Polynomial No Calc 400
Polynomial No Calc 500
Polynomial 100
Polynomial 200
Polynomial 300
Polynomial 400
Polynomial 500
Misc 100
Misc 200
Misc 300
Misc 400
Misc 500
Backf(x)=??
(-3,0)
(-8,0)
(3,0)
(0,4)
f(x)=(-1/432)(x+8)2 (x+3)2(x-3)
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)
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
Back
Find a cubic function with integral coefficients that has no quadratic term if one root is 3 + i2y=x3-25x+66
If p(x) = x4 – 8x2 – 8x – 1 List at least 3 things that p(-3) represents.
Back
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
Back
Givenk(x) =2x4 +15x3 –126x2 +759x –350 Write as a product of linear terms.
Back
Factor completely.
y = 3x4 + 10x3+24x2+22x+5
Back
•Find all zeros.
8292)( 234 xxxxxp
-4,-1,1,2
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
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
Back
Find “k” so that (x+1) is a factor ofj(x) =2x3+(k+1)x2-6kx- 11
K= 12/7
Back
What is the remainder when 2x4-9x2+17x+3 is divided by (x+3)?
R(x)=33
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 __.
Back
If r(x) =6x4-4x3+14x2 -20x-25 Descartes says…The rational root theorem says …
Back
Review: pp. 232-33 # 1-30
PP. 277 # 1-20,25-56 ARE PROBLEMS THAT YOU MAY SEE, ALONG PROBLEMS DISCUSSED IN CLASS.
Back
Write a quartic polynomial with the the only real zero of 1. You also know 1-i is a complex zero.
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