The Binomial Theorem Answers

5 verified answers1 views
1
Free Preview

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
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.
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
8

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)
9

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
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

Did you find these answers helpful?