The Binomial Theorem Answers

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

A
4
B
32
C
128
D
512
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

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
4

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
5

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
6

What is the second term in the binomial expansion of (2r – 3s)12?

A
–73,728r11s
B
73,728r11s
C
608,256r10s2
D
–608,256r10s2
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 third term in the binomial expansion of (a + b)6?

A
1
B
15
C
20
D
90
9

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
10

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)

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