The Binomial Theorem

Question 1

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

Revolt · Accepted Answer

6

Question 2

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

Revolt · Accepted Answer

12C8(3)8

Question 3

Which statement about the simplified binomial expansion of (a + b)n, where n is a positive integer, is true?

Revolt · Accepted Answer

The values of nC0 and nCn are equal to 1.

Question 4

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

Revolt · Accepted Answer

15

Question 5

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

Revolt · Accepted Answer

1, 6, 15, 20, 15, 6, 1

Question 6

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

Revolt · Accepted Answer

10

Question 7

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

Revolt · Accepted Answer

64x6 + 144x4 + 108x2 + 27

Question 8

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

Revolt · Accepted Answer

10C5(2)5(–3)5

Question 9

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

Revolt · Accepted Answer

The last term is –x9.

Question 10

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

Revolt · Accepted Answer

x4 + 8x3 + 24x2 + 32x + 16

The Binomial Theorem Answers