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Deck 13: Polynomial and Synthetic Division
Full screen (f)
Question
Use synthetic division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use long division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use long division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The amounts A (in billions of dollars)donated to support higher education in the United States from 2000 through 2007 are shown in the table,where t represents the year,with t = 0 corresponding to 2000. 
Use a graphing utility to select a correct a scatter plot of the above data.
A)
B)
C)
D)
E)
Use a graphing utility to select a correct a scatter plot of the above data.
A)
B)
C)
D)
E)
Question
Use synthetic division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
If 
,use synthetic division to evaluate f (2).
A)
B)
C)
D)
E)
,use synthetic division to evaluate f (2).A)
B)
C)
D)
E)
Question
Use the Remainder Theorem and synthetic division to find the function value.Verify your answers using another method. 
A)-594
B)-592
C)-596
D)-593
E)-590
A)-594
B)-592
C)-596
D)-593
E)-590
Question
Write 
in the form 
when k = -5.
A)
B)
C)
D)
E)
in the form when k = -5.A)
B)
C)
D)
E)
Question
If x = -4 is a root of 
,use synthetic division to factor the polynomial completely and list all real solutions of the equation.
A)
B)
C)
D)
E)
,use synthetic division to factor the polynomial completely and list all real solutions of the equation.A)
B)
C)
D)
E)
Question
Use long division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use long division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use synthetic division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Select the correct graph of the following function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use long division to divide. 
A)4
B)2
C)-2
D)1
E)3
A)4
B)2
C)-2
D)1
E)3
Question
Select the correct graph of the following function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The amounts A (in billions of dollars)donated to support higher education in the United States from 2000 through 2007 are shown in the table,where t represents the year,with t = 0 corresponding to 2000. 
Use a graphing utility to create a scatter plot of the data.
A)
B)
C)
D)
E)
Use a graphing utility to create a scatter plot of the data.
A)
B)
C)
D)
E)
Question
Use the Remainder Theorem and synthetic division to find the function value. 
A)4.00
B)1.00
C)-1.00
D)6.00
E)5
A)4.00
B)1.00
C)-1.00
D)6.00
E)5
Question
Use synthetic division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Question
Select the correct graph of the following function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Remainder Theorem and synthetic division to find the function value.Verify your answer using another method. 
A)94
B)-94
C)-90
D)-91
E)-89
A)94
B)-94
C)-90
D)-91
E)-89
Question
Use synthetic division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Remainder Theorem and synthetic division to find the function value.Verify your answer using another method. 
A)2,070
B)2,065
C)2,068
D)-2,065
E)2,069
A)2,070
B)2,065
C)2,068
D)-2,065
E)2,069
Question
Use the Remainder Theorem and synthetic division to find the function value.Verify your answer using another method. 
A)11,141
B)11,140
C)11,139
D)11,136
E)-11,136
A)11,141
B)11,140
C)11,139
D)11,136
E)-11,136
Question
Simplify the rational expression, 
,by using long division or synthetic division.
A)
B)
C)
D)
E)
,by using long division or synthetic division.A)
B)
C)
D)
E)
Question
Use long division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Using the factors (x - 4)and (x + 2),find the remaining factor(s)of 
and write the polynomial in fully factored form.
A)
B)
C)
D)
E)
and write the polynomial in fully factored form.A)
B)
C)
D)
E)
Question
If 
is a root of 
,use synthetic division to factor the polynomial completely and list all real solutions of the equation.
A)
B)
C)
D)
E)
is a root of ,use synthetic division to factor the polynomial completely and list all real solutions of the equation.A)
B)
C)
D)
E)
Question
Use the zero or root feature of a graphing utility to approximate the zeros of 
accurate to the nearest thousandth.
A)x = -8.492,-0.695,1.186
B)x = -4.692
C)x = -3.575
D)x = -3.910,-0.763,1.173
E)x = -4.388,-0.720,1.108
accurate to the nearest thousandth.A)x = -8.492,-0.695,1.186
B)x = -4.692
C)x = -3.575
D)x = -3.910,-0.763,1.173
E)x = -4.388,-0.720,1.108
Question
Simplify the rational expression, 
,by using long division or synthetic division.
A)
B)
C)
D)
E)
,by using long division or synthetic division.A)
B)
C)
D)
E)
Question
Use the Remainder Theorem and synthetic division to find the function value.Verify your answer using another method. 
A)3
B)4
C)2
D)-1
E)0
A)3
B)4
C)2
D)-1
E)0
Question
Write the function in the form f(x)= (x - k)q(x)+ r for the given value of k and demonstrate that f(k)= r. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use synthetic division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Remainder Theorem and synthetic division to find the function value.Verify your answer using another method. 
A)-18
B)-17
C)-21
D)-15
E)-19
A)-18
B)-17
C)-21
D)-15
E)-19
Question
Use long division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use synthetic division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
If x = 
is a root of 
,use synthetic division to factor the polynomial completely and list all real solutions of the equation.
A)
;x = 
,2
B)
;x = 
,2
C)
;x = 
,2
D)
;x = 
,2
E)
;x = 
, 
,2
is a root of ,use synthetic division to factor the polynomial completely and list all real solutions of the equation.A)
;x = ,2B)
;x = ,2C)
;x = ,2D)
;x = ,2E)
;x = , ,2 Question
Using the factors (5x + 4)and (x - 1),find the remaining factor(s)of 
and write the polynomial in fully factored form.
A)
B)
C)
D)
E)
and write the polynomial in fully factored form.A)
B)
C)
D)
E)
Question
Use long division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Remainder Theorem and synthetic division to find the function value.Verify your answer using another method. 
A)-30
B)30
C)32
D)27
E)31
A)-30
B)30
C)32
D)27
E)31
Question
Use synthetic division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Remainder Theorem and synthetic division to find each function value.Verify your answers using another method. 
A)-1,237
B)-1,231
C)-1,234
D)-1,235
E)-1,233
A)-1,237
B)-1,231
C)-1,234
D)-1,235
E)-1,233
Question
Use synthetic division to perform the division. 
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
Question
Use long division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
If x = -2 is a root of 
,use synthetic division to factor the polynomial completely and list all real solutions of the equation.
A)
B)
C)
D)
E)
,use synthetic division to factor the polynomial completely and list all real solutions of the equation.A)
B)
C)
D)
E)
Question
Let 
.
Use synthetic division to find the value P (-6).
A)-2,608
B)-1,303
C)-1,305
D)-1,304
E)none of these
. Use synthetic division to find the value P (-6).
A)-2,608
B)-1,303
C)-1,305
D)-1,304
E)none of these
Question
Use synthetic division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use long division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use long division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Using the factors (x - 5)and (x + 2),find the remaining factor(s)of 
and write the polynomial in fully factored form.
A)
B)
C)
D)
E)
and write the polynomial in fully factored form.A)
B)
C)
D)
E)
Question
Use synthetic division to express 
in the form (divisor)(quotient)+ remainder for the divisor x - 5.
A)
B)
C)
D)
E)none of these
in the form (divisor)(quotient)+ remainder for the divisor x - 5.
A)
B)
C)
D)
E)none of these
Question
Use synthetic division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use synthetic division to express 
in the form (divisor)(quotient)+ remainder for the divisor x + 5.
A)
B)
C)
D)
E)none of these
in the form (divisor)(quotient)+ remainder for the divisor x + 5.
A)
B)
C)
D)
E)none of these
Question
Write 
in the form f (x)= (x - k)q(x)when k = -3.
A)
B)
C)
D)
E)
in the form f (x)= (x - k)q(x)when k = -3.A)
B)
C)
D)
E)
Question
If x = 
is a root of 
,use synthetic division to factor the polynomial completely and list all real solutions of the equation.
A)
x = 
, 
,3
B)
x = 
,3
C)
x = 
,3
D)
x = 
,3
E)
x = 
,3
is a root of ,use synthetic division to factor the polynomial completely and list all real solutions of the equation.A)
x = , ,3B)
x = ,3C)
x = ,3D)
x = ,3E)
x = ,3 Question
Use long division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use synthetic division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use synthetic division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use long division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use synthetic division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find all the rational zeros of the function 
.
A)x = -2,2,1,3
B)x = 3,1
C)x = -2,-1,-3
D)x = -1,-2
E)x = -2,2,-1,1,-3
.A)x = -2,2,1,3
B)x = 3,1
C)x = -2,-1,-3
D)x = -1,-2
E)x = -2,2,-1,1,-3
Question
Find all rational roots of the equation.
147x 3 - 98x 2 + 27x - 18 = 0
A)
B)
C)
D)
147x 3 - 98x 2 + 27x - 18 = 0
A)
B)
C)
D)
Question
Question
Use synthetic division to divide. 
Question
Use synthetic division to perform the division. 
Question
Use synthetic division to perform the division. 
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
Question
Find all real zeros of the polynomial 
and determine the multiplicity of each.
A)x = 49,multiplicity 2;x = 64,multiplicity 2
B)x = 7,multiplicity 2;x = 8,multiplicity 2
C)x = 49,multiplicity 2;x = 8,multiplicity 1
D)x = -7,multiplicity 2;x = -8,multiplicity 2
E)x = 7,multiplicity 1;x = -7,multiplicity 1;x = 8,multiplicity 1;x = -8,multiplicity 1
and determine the multiplicity of each.A)x = 49,multiplicity 2;x = 64,multiplicity 2
B)x = 7,multiplicity 2;x = 8,multiplicity 2
C)x = 49,multiplicity 2;x = 8,multiplicity 1
D)x = -7,multiplicity 2;x = -8,multiplicity 2
E)x = 7,multiplicity 1;x = -7,multiplicity 1;x = 8,multiplicity 1;x = -8,multiplicity 1
Question
Use the zero or root feature of a graphing utility to approximate the zeros of 
accurate to the nearest thousandth.
A)x = -4.692
B)x = -8.492,-0.695,1.186
C)x = -3.575
D)x = -4.388,-0.720,1.108
E)x = -3.910,-0.763,1.173
accurate to the nearest thousandth.A)x = -4.692
B)x = -8.492,-0.695,1.186
C)x = -3.575
D)x = -4.388,-0.720,1.108
E)x = -3.910,-0.763,1.173
Question
Question
Let 
.
Use synthetic division to find the value P (-7).
.
Use synthetic division to find the value P (-7).
Question
Find all rational roots of the equation.
13x 3 - 2x 2 + 52x - 8 = 0
A)
B)x = -2i
C)x = 2i
D)
E)
13x 3 - 2x 2 + 52x - 8 = 0
A)
B)x = -2i
C)x = 2i
D)
E)
Question
Find all the real zeros of 
.
A)x = 3,
B)x = 2,1,-6
C)x = ± 1,3
D)x = 3
E)x =
, 
.A)x = 3,
B)x = 2,1,-6
C)x = ± 1,3
D)x = 3
E)x =
, Question
Find all the rational zeros of the function 
.
A)x = 1,-5,5,-2
B)x = -2,-5,-5
C)x = -1,-5,5,
D)x =
, 
, 
,5
E)x = -2,-5,
, 
.A)x = 1,-5,5,-2
B)x = -2,-5,-5
C)x = -1,-5,5,
D)x =
, , ,5E)x = -2,-5,
, Question
Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of 
.
A)3 positive reals or 1 positive real;3 negative reals or 1 negative real
B)3 positive reals or 1 positive real;no negative reals
C)0 positive real;3 negative reals or 1 negative real
D)1 positive real;3 negative reals or 1 negative real
E)no positive reals;no negative reals
.A)3 positive reals or 1 positive real;3 negative reals or 1 negative real
B)3 positive reals or 1 positive real;no negative reals
C)0 positive real;3 negative reals or 1 negative real
D)1 positive real;3 negative reals or 1 negative real
E)no positive reals;no negative reals
Question
Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of 
.
A)3 positive reals or 1 positive real;3 negative reals or 1 negative real
B)3 positive reals or 1 positive real;no negative reals
C)1 positive real;3 negative reals or 1 negative real
D)3 positive reals or 1 positive real;1 negative real
E)no positive reals;no negative reals
.A)3 positive reals or 1 positive real;3 negative reals or 1 negative real
B)3 positive reals or 1 positive real;no negative reals
C)1 positive real;3 negative reals or 1 negative real
D)3 positive reals or 1 positive real;1 negative real
E)no positive reals;no negative reals
Question
Find all the real zeros of 
.
A)x =
,4
B)x =
, 
C)x =
,-2
D)x =
, 
E)x =
,-4
.A)x =
,4B)x =
, C)x =
,-2D)x =
, E)x =
,-4
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Deck 13: Polynomial and Synthetic Division
1
Use synthetic division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Use long division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
3
Use long division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
The amounts A (in billions of dollars)donated to support higher education in the United States from 2000 through 2007 are shown in the table,where t represents the year,with t = 0 corresponding to 2000.
Use a graphing utility to select a correct a scatter plot of the above data.
A)
B)
C)
D)
E)
Use a graphing utility to select a correct a scatter plot of the above data.
A)
B)
C)
D)
E)
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5
Use synthetic division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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6
If ,use synthetic division to evaluate f (2).
A)
B)
C)
D)
E)
,use synthetic division to evaluate f (2).A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
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7
Use the Remainder Theorem and synthetic division to find the function value.Verify your answers using another method.
A)-594
B)-592
C)-596
D)-593
E)-590
A)-594
B)-592
C)-596
D)-593
E)-590
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
8
Write in the form when k = -5.
A)
B)
C)
D)
E)
in the form when k = -5.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
9
If x = -4 is a root of ,use synthetic division to factor the polynomial completely and list all real solutions of the equation.
A)
B)
C)
D)
E)
,use synthetic division to factor the polynomial completely and list all real solutions of the equation.A)
B)
C)
D)
E)
Unlock Deck
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10
Use long division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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11
Use long division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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12
Use synthetic division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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13
Select the correct graph of the following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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14
Use long division to divide.
A)4
B)2
C)-2
D)1
E)3
A)4
B)2
C)-2
D)1
E)3
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15
Select the correct graph of the following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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16
The amounts A (in billions of dollars)donated to support higher education in the United States from 2000 through 2007 are shown in the table,where t represents the year,with t = 0 corresponding to 2000.
Use a graphing utility to create a scatter plot of the data.
A)
B)
C)
D)
E)
Use a graphing utility to create a scatter plot of the data.
A)
B)
C)
D)
E)
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17
Use the Remainder Theorem and synthetic division to find the function value.
A)4.00
B)1.00
C)-1.00
D)6.00
E)5
A)4.00
B)1.00
C)-1.00
D)6.00
E)5
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18
Use synthetic division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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19
Find the value of k such that
X - 6 is a factor of x3 - kx2 + 2kx - 24.
A)k = 6
B)k = 10
C)k = 8
D)k = 7
E)k = 9
X - 6 is a factor of x3 - kx2 + 2kx - 24.
A)k = 6
B)k = 10
C)k = 8
D)k = 7
E)k = 9
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20
Select the correct graph of the following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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21
Use the Remainder Theorem and synthetic division to find the function value.Verify your answer using another method.
A)94
B)-94
C)-90
D)-91
E)-89
A)94
B)-94
C)-90
D)-91
E)-89
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22
Use synthetic division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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k this deck
23
Use the Remainder Theorem and synthetic division to find the function value.Verify your answer using another method.
A)2,070
B)2,065
C)2,068
D)-2,065
E)2,069
A)2,070
B)2,065
C)2,068
D)-2,065
E)2,069
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24
Use the Remainder Theorem and synthetic division to find the function value.Verify your answer using another method.
A)11,141
B)11,140
C)11,139
D)11,136
E)-11,136
A)11,141
B)11,140
C)11,139
D)11,136
E)-11,136
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k this deck
25
Simplify the rational expression, ,by using long division or synthetic division.
A)
B)
C)
D)
E)
,by using long division or synthetic division.A)
B)
C)
D)
E)
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26
Use long division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
27
Using the factors (x - 4)and (x + 2),find the remaining factor(s)of and write the polynomial in fully factored form.
A)
B)
C)
D)
E)
and write the polynomial in fully factored form.A)
B)
C)
D)
E)
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k this deck
28
If is a root of ,use synthetic division to factor the polynomial completely and list all real solutions of the equation.
A)
B)
C)
D)
E)
is a root of ,use synthetic division to factor the polynomial completely and list all real solutions of the equation.A)
B)
C)
D)
E)
Unlock Deck
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k this deck
29
Use the zero or root feature of a graphing utility to approximate the zeros of accurate to the nearest thousandth.
A)x = -8.492,-0.695,1.186
B)x = -4.692
C)x = -3.575
D)x = -3.910,-0.763,1.173
E)x = -4.388,-0.720,1.108
accurate to the nearest thousandth.A)x = -8.492,-0.695,1.186
B)x = -4.692
C)x = -3.575
D)x = -3.910,-0.763,1.173
E)x = -4.388,-0.720,1.108
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k this deck
30
Simplify the rational expression, ,by using long division or synthetic division.
A)
B)
C)
D)
E)
,by using long division or synthetic division.A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
31
Use the Remainder Theorem and synthetic division to find the function value.Verify your answer using another method.
A)3
B)4
C)2
D)-1
E)0
A)3
B)4
C)2
D)-1
E)0
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k this deck
32
Write the function in the form f(x)= (x - k)q(x)+ r for the given value of k and demonstrate that f(k)= r.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
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k this deck
33
Use synthetic division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
34
Use the Remainder Theorem and synthetic division to find the function value.Verify your answer using another method.
A)-18
B)-17
C)-21
D)-15
E)-19
A)-18
B)-17
C)-21
D)-15
E)-19
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k this deck
35
Use long division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
36
Use synthetic division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
37
If x = is a root of ,use synthetic division to factor the polynomial completely and list all real solutions of the equation.
A) ;x = ,2
B) ;x = ,2
C) ;x = ,2
D) ;x = ,2
E) ;x = , ,2
is a root of ,use synthetic division to factor the polynomial completely and list all real solutions of the equation.A)
;x = ,2B)
;x = ,2C)
;x = ,2D)
;x = ,2E)
;x = , ,2 Unlock Deck
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38
Using the factors (5x + 4)and (x - 1),find the remaining factor(s)of and write the polynomial in fully factored form.
A)
B)
C)
D)
E)
and write the polynomial in fully factored form.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
39
Use long division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
40
Use the Remainder Theorem and synthetic division to find the function value.Verify your answer using another method.
A)-30
B)30
C)32
D)27
E)31
A)-30
B)30
C)32
D)27
E)31
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Unlock Deck
k this deck
41
Use synthetic division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
42
Use the Remainder Theorem and synthetic division to find each function value.Verify your answers using another method.
A)-1,237
B)-1,231
C)-1,234
D)-1,235
E)-1,233
A)-1,237
B)-1,231
C)-1,234
D)-1,235
E)-1,233
Unlock Deck
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Unlock Deck
k this deck
43
Use synthetic division to perform the division.
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
44
Use long division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
45
If x = -2 is a root of ,use synthetic division to factor the polynomial completely and list all real solutions of the equation.
A)
B)
C)
D)
E)
,use synthetic division to factor the polynomial completely and list all real solutions of the equation.A)
B)
C)
D)
E)
Unlock Deck
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k this deck
46
Let .
Use synthetic division to find the value P (-6).
A)-2,608
B)-1,303
C)-1,305
D)-1,304
E)none of these
. Use synthetic division to find the value P (-6).
A)-2,608
B)-1,303
C)-1,305
D)-1,304
E)none of these
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
47
Use synthetic division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
48
Use long division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
49
Use long division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
50
Using the factors (x - 5)and (x + 2),find the remaining factor(s)of and write the polynomial in fully factored form.
A)
B)
C)
D)
E)
and write the polynomial in fully factored form.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
51
Use synthetic division to express in the form (divisor)(quotient)+ remainder for the divisor x - 5.
A)
B)
C)
D)
E)none of these
in the form (divisor)(quotient)+ remainder for the divisor x - 5.
A)
B)
C)
D)
E)none of these
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
52
Use synthetic division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
53
Use synthetic division to express in the form (divisor)(quotient)+ remainder for the divisor x + 5.
A)
B)
C)
D)
E)none of these
in the form (divisor)(quotient)+ remainder for the divisor x + 5.
A)
B)
C)
D)
E)none of these
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
54
Write in the form f (x)= (x - k)q(x)when k = -3.
A)
B)
C)
D)
E)
in the form f (x)= (x - k)q(x)when k = -3.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
55
If x = is a root of ,use synthetic division to factor the polynomial completely and list all real solutions of the equation.
A) x = , ,3
B) x = ,3
C) x = ,3
D) x = ,3
E) x = ,3
is a root of ,use synthetic division to factor the polynomial completely and list all real solutions of the equation.A)
x = , ,3B)
x = ,3C)
x = ,3D)
x = ,3E)
x = ,3 Unlock Deck
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Unlock Deck
k this deck
56
Use long division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
57
Use synthetic division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
58
Use synthetic division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
59
Use long division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
60
Use synthetic division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
Unlock Deck
k this deck
61
Find all the rational zeros of the function .
A)x = -2,2,1,3
B)x = 3,1
C)x = -2,-1,-3
D)x = -1,-2
E)x = -2,2,-1,1,-3
.A)x = -2,2,1,3
B)x = 3,1
C)x = -2,-1,-3
D)x = -1,-2
E)x = -2,2,-1,1,-3
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k this deck
62
Find all rational roots of the equation.
147x 3 - 98x 2 + 27x - 18 = 0
A)
B)
C)
D)
147x 3 - 98x 2 + 27x - 18 = 0
A)
B)
C)
D)
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Unlock Deck
k this deck
63
The number (1 + i)is a root of the equation.
X 3 - 10x 2 + 18x - 16 = 0
Find the other roots of the equation.
A)x = 1 - i
B)x = 1 + i
C)x = 5
D)x = 8
X 3 - 10x 2 + 18x - 16 = 0
Find the other roots of the equation.
A)x = 1 - i
B)x = 1 + i
C)x = 5
D)x = 8
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Unlock Deck
k this deck
64
Use synthetic division to divide.
Unlock Deck
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Unlock Deck
k this deck
65
Use synthetic division to perform the division.
Unlock Deck
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Unlock Deck
k this deck
66
Use synthetic division to perform the division.
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
Unlock Deck
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k this deck
67
Find all real zeros of the polynomial and determine the multiplicity of each.
A)x = 49,multiplicity 2;x = 64,multiplicity 2
B)x = 7,multiplicity 2;x = 8,multiplicity 2
C)x = 49,multiplicity 2;x = 8,multiplicity 1
D)x = -7,multiplicity 2;x = -8,multiplicity 2
E)x = 7,multiplicity 1;x = -7,multiplicity 1;x = 8,multiplicity 1;x = -8,multiplicity 1
and determine the multiplicity of each.A)x = 49,multiplicity 2;x = 64,multiplicity 2
B)x = 7,multiplicity 2;x = 8,multiplicity 2
C)x = 49,multiplicity 2;x = 8,multiplicity 1
D)x = -7,multiplicity 2;x = -8,multiplicity 2
E)x = 7,multiplicity 1;x = -7,multiplicity 1;x = 8,multiplicity 1;x = -8,multiplicity 1
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68
Use the zero or root feature of a graphing utility to approximate the zeros of accurate to the nearest thousandth.
A)x = -4.692
B)x = -8.492,-0.695,1.186
C)x = -3.575
D)x = -4.388,-0.720,1.108
E)x = -3.910,-0.763,1.173
accurate to the nearest thousandth.A)x = -4.692
B)x = -8.492,-0.695,1.186
C)x = -3.575
D)x = -4.388,-0.720,1.108
E)x = -3.910,-0.763,1.173
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69
Use Descartes' rule of signs to find the number of possible positive,negative,and nonreal roots for the following equation. 4x 7 + 9x 2 + 5x + 10 = 0
A)0 positive;1 negative;6 nonreal
B)2 positive;1 or 3 negative;4 or 0 nonreal
C)0 positive;0 negative;7 nonreal
D)0 positive;0 or 2 negative;5 or 7 nonreal
E)none of these
A)0 positive;1 negative;6 nonreal
B)2 positive;1 or 3 negative;4 or 0 nonreal
C)0 positive;0 negative;7 nonreal
D)0 positive;0 or 2 negative;5 or 7 nonreal
E)none of these
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k this deck
70
Let .
Use synthetic division to find the value P (-7).
.
Use synthetic division to find the value P (-7).
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k this deck
71
Find all rational roots of the equation.
13x 3 - 2x 2 + 52x - 8 = 0
A)
B)x = -2i
C)x = 2i
D)
E)
13x 3 - 2x 2 + 52x - 8 = 0
A)
B)x = -2i
C)x = 2i
D)
E)
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72
Find all the real zeros of .
A)x = 3,
B)x = 2,1,-6
C)x = ± 1,3
D)x = 3
E)x = ,
.A)x = 3,
B)x = 2,1,-6
C)x = ± 1,3
D)x = 3
E)x =
, Unlock Deck
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73
Find all the rational zeros of the function .
A)x = 1,-5,5,-2
B)x = -2,-5,-5
C)x = -1,-5,5,
D)x = , , ,5
E)x = -2,-5, ,
.A)x = 1,-5,5,-2
B)x = -2,-5,-5
C)x = -1,-5,5,
D)x =
, , ,5E)x = -2,-5,
, Unlock Deck
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74
Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .
A)3 positive reals or 1 positive real;3 negative reals or 1 negative real
B)3 positive reals or 1 positive real;no negative reals
C)0 positive real;3 negative reals or 1 negative real
D)1 positive real;3 negative reals or 1 negative real
E)no positive reals;no negative reals
.A)3 positive reals or 1 positive real;3 negative reals or 1 negative real
B)3 positive reals or 1 positive real;no negative reals
C)0 positive real;3 negative reals or 1 negative real
D)1 positive real;3 negative reals or 1 negative real
E)no positive reals;no negative reals
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75
Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .
A)3 positive reals or 1 positive real;3 negative reals or 1 negative real
B)3 positive reals or 1 positive real;no negative reals
C)1 positive real;3 negative reals or 1 negative real
D)3 positive reals or 1 positive real;1 negative real
E)no positive reals;no negative reals
.A)3 positive reals or 1 positive real;3 negative reals or 1 negative real
B)3 positive reals or 1 positive real;no negative reals
C)1 positive real;3 negative reals or 1 negative real
D)3 positive reals or 1 positive real;1 negative real
E)no positive reals;no negative reals
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76
Find all the real zeros of .
A)x = ,4
B)x = ,
C)x = ,-2
D)x = ,
E)x = ,-4
.A)x =
,4B)x =
, C)x =
,-2D)x =
, E)x =
,-4 Unlock Deck
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k this deck
Unlock Deck
Unlock for access to all 76 flashcards in this deck.
