AnswersAlgebra IIThe Binomial Theorem

The Binomial Theorem — Quiz Answers

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What are the coefficients for the binomial expansion of open paren p plus q close paren to the 6th power ?

A
1 , 5 , 10 , 10 , 5 , 1
B
1 , 4 , 6 , 4 , 1
C
1 , 6 , 15 , 20 , 15 , 6 , 1
D
1 , 8 , 28 , 56 , 70 , 56 , 28 , 8 , 1
5

What is the coefficient of the x to the 5th power y to the 5th power -term in the binomial expansion of open paren 2 x minus 3 y close paren to the 10th power ?

A
10 cap c sub 5 2 to the 5th power negative 3 to the 5th power
B
negative 10 cap c sub 5 2 to the 5th power negative 3 to the 5th power
C
10 cap c sub 5 2 to the 5th power 3
D
10 cap c sub 5 2 to the 5th power 3 to the 5th power
6

What is the second term in the binomial expansion of open paren 2 r minus 3 s close paren to the 12th power ?

A
73 comma 728 r to the 11th power s
B
negative 73 comma 728 r to the 11th power s
C
negative 608 comma 256 r to the 10th power s squared
D
608 comma 256 r to the 10th power s squared
8

What is the coefficient of the x to the 4th power -term in the binomial expansion of open paren x plus 3 close paren to the 12th power ?

A
12 cap c sub 8 3 to the 8th power
B
12 cap c sub 7 3 to the 7th power
C
12 cap c sub 8
D
12 cap c sub 4 3 to the 4th power
9

Which expression represents the fourth term in the binomial expansion of open paren e plus 2 f close paren to the 10th power ?

A
10 cap c sub 4 open paren e to the 6th power close paren f to the 4th power
B
10 cap c sub 3 open paren e to the 7th power close paren f cubed
C
10 cap c sub 3 open paren e to the 7th power close paren 2 f cubed
D
10 cap c sub 4 open paren e to the 6th power close paren 2 f to the 4th power

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The Binomial Theorem — Quiz Answers — Algebra II