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Deck 56: The Binomial Theorem
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Question
Evaluate using Pascal's Triangle. 
A)8
B)6
C)10
D)9
E)7
A)8
B)6
C)10
D)9
E)7
Question
Evaluate using Pascal's Triangle. 
A)496
B)495
C)497
D)494
E)493
A)496
B)495
C)497
D)494
E)493
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Calculate the binomial coefficient. 
A)16
B)15
C)17
D)14
E)13
A)16
B)15
C)17
D)14
E)13
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Calculate the binomial coefficient. 
A)0
B)4
C)1
D)3
E)2
A)0
B)4
C)1
D)3
E)2
Question
Calculate the binomial coefficient. 
A)2
B)3
C)1
D)4
E)0
A)2
B)3
C)1
D)4
E)0
Question
Calculate the binomial coefficient. 
A)496
B)493
C)498
D)497
E)495
A)496
B)493
C)498
D)497
E)495
Question
Calculate the binomial coefficient. 
A)33
B)37
C)34
D)36
E)35
A)33
B)37
C)34
D)36
E)35
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Expand the binomial by using Pascal's Triangle to determine the coefficients. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Evaluate using Pascal's Triangle. 
A)54
B)58
C)56
D)55
E)57
A)54
B)58
C)56
D)55
E)57
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Calculate the binomial coefficient: 
A)12
B)24
C)0
D)4
E)1
A)12
B)24
C)0
D)4
E)1
Question
Find the coefficient a of the term in the expansion of the binomial. 
A)2,208
B)2,204
C)2,206
D)2,205
E)2,203
A)2,208
B)2,204
C)2,206
D)2,205
E)2,203
Question
Find the specified nth term in the expansion of the binomial. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Binomial Theorem to expand the complex number.Simplify your result. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Expand the expression in the difference quotient and simplify. 
Difference quotient 
A)
B)
C)
D)
E)
Difference quotient A)
B)
C)
D)
E)
Question
Find the specified nth term in the expansion of the binomial. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the specified nth term in the expansion of the binomial. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the specified nth term in the expansion of the binomial. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the coefficient a of the term in the expansion of the binomial. 
A)8,304,721,920
B)8,304,721,921
C)8,304,721,923
D)8,304,721,918
E)8,304,721,919
A)8,304,721,920
B)8,304,721,921
C)8,304,721,923
D)8,304,721,918
E)8,304,721,919
Question
Find the specified nth term in the expansion of the binomial. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the specified nth term in the expansion of the binomial. 
A)251
B)254
C)253
D)252
E)250
A)251
B)254
C)253
D)252
E)250
Question
Find the coefficient a of the term in the expansion of the binomial. 
A)-6,300,001
B)-6,300,002
C)-6,299,999
D)-6,300,000
E)-6,299,997
A)-6,300,001
B)-6,300,002
C)-6,299,999
D)-6,300,000
E)-6,299,997
Question
Use the Binomial Theorem to expand the complex number.Simplify your result. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the coefficient a of the term in the expansion of the binomial. 
A)-407,653,785
B)-652,246,056
C)760,953,732
D)181,179,460
E)652,246,056
A)-407,653,785
B)-652,246,056
C)760,953,732
D)181,179,460
E)652,246,056
Question
Find the coefficient a of the term in the expansion of the binomial. 
A)1,621
B)1,620
C)1,619
D)1,623
E)1,618
A)1,621
B)1,620
C)1,619
D)1,623
E)1,618
Question
Find the specified nth term in the expansion of the binomial. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Expand the binomial by using Pascal's Triangle to determine the coefficients. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the binomial theorem to expand the binomial. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the binomial theorem to expand the binomial. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Calculate the binomial coefficient: 
A)30
B)1
C)12
D)0
E)15
A)30
B)1
C)12
D)0
E)15
Question
Find the specified nth term in the expansion of the binomial.(Write the expansion in descending powers of x. ) 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Binominal Theorem to expand the complex number.Simplify your result. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the coefficient a of the term in the expansion of the binomial. Binomial Term 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the specified nth term in the expansion of the binomial.(Write the expansion in descending powers of x. ) 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the coefficient a of the term in the expansion of the binomial. Binomial Term 
A)a = 13
B)a = 10206
C)a = 45
D)a = -19683
E)a = 3024
A)a = 13
B)a = 10206
C)a = 45
D)a = -19683
E)a = 3024
Question
Use the Binomial Theorem to expand and simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The probability that a basketball player will make a given free throw is 
.To find the probability that the player makes exactly 8 out of her next 10 free throws,evaluate the term 
in the expansion of 
.Round to four decimal places.
A)0.2721
B)0.0106
C)0.0047
D)0.7558
E)0.1209
.To find the probability that the player makes exactly 8 out of her next 10 free throws,evaluate the term in the expansion of .Round to four decimal places.A)0.2721
B)0.0106
C)0.0047
D)0.7558
E)0.1209
Question
Evaluate using Pascal's triangle. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Evaluate using Pascal's triangle. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Binominal Theorem to expand the complex number.Simplify your result. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Calculate the binomial coefficient: 
A)6652800
B)88
C)165
D)1
E)0
A)6652800
B)88
C)165
D)1
E)0
Question
Use the binomial theorem to expand the binomial. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Calculate the binomial coefficient: 
A)332640
B)66
C)462
D)1
E)0
A)332640
B)66
C)462
D)1
E)0
Question
Evaluate using Pascal's triangle.Show your work. 
Question
Use the binomial theorem to expand the binomial. 
Question
Expand the binomial by using Pascal's triangle to determine the coefficients.Show your work. 
Question
Find the 3rd term in the binomial expansion. 
Question
Evaluate using Pascal's triangle.Show your work. 
Question
The probability that a basketball player will make a given free throw is 
.To find the probability that the player makes exactly 7 out of her next 10 free throws,evaluate the term 
in the expansion of 
.Round to four decimal places.
A)0.0090
B)3.3897
C)0.0007
D)0.2668
E)9.8825
.To find the probability that the player makes exactly 7 out of her next 10 free throws,evaluate the term in the expansion of .Round to four decimal places.A)0.0090
B)3.3897
C)0.0007
D)0.2668
E)9.8825
Question
Use the binomial theorem to expand the binomial. 
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Deck 56: The Binomial Theorem
1
Evaluate using Pascal's Triangle.
A)8
B)6
C)10
D)9
E)7
A)8
B)6
C)10
D)9
E)7
8
2
Evaluate using Pascal's Triangle.
A)496
B)495
C)497
D)494
E)493
A)496
B)495
C)497
D)494
E)493
495
3
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Calculate the binomial coefficient.
A)16
B)15
C)17
D)14
E)13
A)16
B)15
C)17
D)14
E)13
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5
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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6
Calculate the binomial coefficient.
A)0
B)4
C)1
D)3
E)2
A)0
B)4
C)1
D)3
E)2
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7
Calculate the binomial coefficient.
A)2
B)3
C)1
D)4
E)0
A)2
B)3
C)1
D)4
E)0
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8
Calculate the binomial coefficient.
A)496
B)493
C)498
D)497
E)495
A)496
B)493
C)498
D)497
E)495
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9
Calculate the binomial coefficient.
A)33
B)37
C)34
D)36
E)35
A)33
B)37
C)34
D)36
E)35
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10
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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11
Expand the binomial by using Pascal's Triangle to determine the coefficients.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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12
Evaluate using Pascal's Triangle.
A)54
B)58
C)56
D)55
E)57
A)54
B)58
C)56
D)55
E)57
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13
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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14
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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15
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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16
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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17
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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18
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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19
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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20
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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21
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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22
Calculate the binomial coefficient:
A)12
B)24
C)0
D)4
E)1
A)12
B)24
C)0
D)4
E)1
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23
Find the coefficient a of the term in the expansion of the binomial.
A)2,208
B)2,204
C)2,206
D)2,205
E)2,203
A)2,208
B)2,204
C)2,206
D)2,205
E)2,203
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24
Find the specified nth term in the expansion of the binomial.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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25
Use the Binomial Theorem to expand the complex number.Simplify your result.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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26
Expand the expression in the difference quotient and simplify. Difference quotient
A)
B)
C)
D)
E)
Difference quotient A)
B)
C)
D)
E)
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27
Find the specified nth term in the expansion of the binomial.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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28
Find the specified nth term in the expansion of the binomial.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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29
Find the specified nth term in the expansion of the binomial.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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30
Find the coefficient a of the term in the expansion of the binomial.
A)8,304,721,920
B)8,304,721,921
C)8,304,721,923
D)8,304,721,918
E)8,304,721,919
A)8,304,721,920
B)8,304,721,921
C)8,304,721,923
D)8,304,721,918
E)8,304,721,919
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31
Find the specified nth term in the expansion of the binomial.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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32
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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33
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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34
Find the specified nth term in the expansion of the binomial.
A)251
B)254
C)253
D)252
E)250
A)251
B)254
C)253
D)252
E)250
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Unlock Deck
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35
Find the coefficient a of the term in the expansion of the binomial.
A)-6,300,001
B)-6,300,002
C)-6,299,999
D)-6,300,000
E)-6,299,997
A)-6,300,001
B)-6,300,002
C)-6,299,999
D)-6,300,000
E)-6,299,997
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Unlock Deck
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36
Use the Binomial Theorem to expand the complex number.Simplify your result.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
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37
Find the coefficient a of the term in the expansion of the binomial.
A)-407,653,785
B)-652,246,056
C)760,953,732
D)181,179,460
E)652,246,056
A)-407,653,785
B)-652,246,056
C)760,953,732
D)181,179,460
E)652,246,056
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
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38
Find the coefficient a of the term in the expansion of the binomial.
A)1,621
B)1,620
C)1,619
D)1,623
E)1,618
A)1,621
B)1,620
C)1,619
D)1,623
E)1,618
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
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39
Find the specified nth term in the expansion of the binomial.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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40
Expand the binomial by using Pascal's Triangle to determine the coefficients.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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41
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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42
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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43
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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44
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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45
Use the binomial theorem to expand the binomial.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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46
Use the binomial theorem to expand the binomial.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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47
Calculate the binomial coefficient:
A)30
B)1
C)12
D)0
E)15
A)30
B)1
C)12
D)0
E)15
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48
Find the specified nth term in the expansion of the binomial.(Write the expansion in descending powers of x. )
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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49
Use the Binominal Theorem to expand the complex number.Simplify your result.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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50
Find the coefficient a of the term in the expansion of the binomial. Binomial Term
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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51
Find the specified nth term in the expansion of the binomial.(Write the expansion in descending powers of x. )
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
52
Find the coefficient a of the term in the expansion of the binomial. Binomial Term
A)a = 13
B)a = 10206
C)a = 45
D)a = -19683
E)a = 3024
A)a = 13
B)a = 10206
C)a = 45
D)a = -19683
E)a = 3024
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53
Use the Binomial Theorem to expand and simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
54
The probability that a basketball player will make a given free throw is .To find the probability that the player makes exactly 8 out of her next 10 free throws,evaluate the term in the expansion of .Round to four decimal places.
A)0.2721
B)0.0106
C)0.0047
D)0.7558
E)0.1209
.To find the probability that the player makes exactly 8 out of her next 10 free throws,evaluate the term in the expansion of .Round to four decimal places.A)0.2721
B)0.0106
C)0.0047
D)0.7558
E)0.1209
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55
Evaluate using Pascal's triangle.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
56
Evaluate using Pascal's triangle.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
57
Use the Binominal Theorem to expand the complex number.Simplify your result.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
58
Calculate the binomial coefficient:
A)6652800
B)88
C)165
D)1
E)0
A)6652800
B)88
C)165
D)1
E)0
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Unlock Deck
k this deck
59
Use the binomial theorem to expand the binomial.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
60
Calculate the binomial coefficient:
A)332640
B)66
C)462
D)1
E)0
A)332640
B)66
C)462
D)1
E)0
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Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
61
Evaluate using Pascal's triangle.Show your work.
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62
Use the binomial theorem to expand the binomial.
Unlock Deck
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63
Expand the binomial by using Pascal's triangle to determine the coefficients.Show your work.
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64
Find the 3rd term in the binomial expansion.
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65
Evaluate using Pascal's triangle.Show your work.
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k this deck
66
The probability that a basketball player will make a given free throw is .To find the probability that the player makes exactly 7 out of her next 10 free throws,evaluate the term in the expansion of .Round to four decimal places.
A)0.0090
B)3.3897
C)0.0007
D)0.2668
E)9.8825
.To find the probability that the player makes exactly 7 out of her next 10 free throws,evaluate the term in the expansion of .Round to four decimal places.A)0.0090
B)3.3897
C)0.0007
D)0.2668
E)9.8825
Unlock Deck
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Unlock Deck
k this deck
67
Use the binomial theorem to expand the binomial.
Unlock Deck
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Unlock Deck
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