The Binomial Theorem Answers

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

A
4
B
5
C
6
D
7
2
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What is the coefficient of the third term in the binomial expansion of (a + b)6?

A
1
B
15
C
20
D
90
3

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
4

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

A
0
B
1
C
9
D
10
5

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

A
8
B
9
C
10
D
11
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

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
8

What is the binomial expansion of (x + 2)4?

A
x4 + 4x3 + 6x2 + 4x + 1
B
8x3 + 24x2 + 32x
C
x4 + 8x3 + 24x2 + 32x + 16
D
2x4 + 8x3 + 12x2 + 8x + 2
9

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.
10

What is the binomial expansion of (2x – 3)5?

A
(2x)5 – 15(2x)4 + 90(2x)3 – 270(2x)2 + 405(2x) – 243
B
(2x)5 + 15(2x)4 – 90(2x)3 + 270(2x)2 – 405(2x) + 243
C
(2x)5 + 15(2x)4 + 90(2x)3 + 270(2x)2 + 405(2x) + 243
D
2(x)5 – 30(x)4 + 180(x)3 – 540(2x)2 + 810(x) – 243

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The Binomial Theorem Answers — Adv. Algebra II…