The Binomial Theorem Answers

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The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube?

A
64x6 + 144x4 + 108x2 + 27
B
64x6 + 48x4 + 12x2 + 1
C
4x6 + 36x4 + 108x2 + 27
D
4x6 + 12x4 +12x2 + 1
2
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What is the coefficient of the last term in the binomial expansion of (x + 1)9?

A
0
B
1
C
9
D
10
3

Which statement about the binomial expansion of (x2 – x)9 is true?

A
The first term is –x18.
B
The second term is 9x17.
C
The third term is 36x14.
D
The last term is –x9.
4

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
5

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)
6

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

A
4
B
32
C
128
D
512
7

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

A
4
B
5
C
6
D
7
8

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

A
8
B
9
C
10
D
11
9

What are the coefficients for the binomial expansion of (p + q)6?

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

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

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