The Binomial Theorem Answers

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What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10?

A
10C5(2)5(3)5
B
10C5(2)5(–3)5
C
–10C5(2)5(–3)5
D
10C5(2)5(3)
2
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Which statement about the simplified binomial expansion of (a + b)n, where n is a positive integer, is true?

A
The value of the binomial coefficient nC0 is n – 1 for all values of n.
B
The values of nC1 and nCn–1 are equal to 1.
C
The values of nC0 and nCn are equal to 1.
D
The value of the binomial coefficient nC1 is n – 1 for all values of n.
3

How many terms are in the binomial expansion of (3x + 5)9?

A
8
B
9
C
10
D
11
4

What is the coefficient of the x4-term in the binomial expansion of (x + 3)12?

A
12C7(3)7
B
12C8
C
12C4(3)4
D
12C8(3)8
5

The following list gives the coefficients for the binomial expansion of (x + y)10. What is the value of B? 1, 10, 45, 120, 210, 252, 210, B, 45, 10, 1

A
1
B
10
C
45
D
120
6

Which expression represents the fourth term in the binomial expansion of (e + 2f)10?

A
10C3(e7)(2f)3
B
10C3(e7)(f)3
C
10C4(e6)(2f)4
D
10C4(e6)(f)4
7

How many terms are in the binomial expansion of (2x + 3)5?

A
4
B
5
C
6
D
7
8

What is the coefficient of the last term in the binomial expansion of (x + 1)9?

A
0
B
1
C
9
D
10
9

What is the coefficient of the third term in the binomial expansion of (a + b)6?

A
1
B
15
C
20
D
90
10

What is the coefficient of the x9y-term in the binomial expansion of (2y + 4x3)4?

A
4
B
32
C
128
D
512

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