The Binomial Theorem

Question 1

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

Revolt · Accepted Answer

10

Question 2

Which expression represents the fourth term in the binomial expansion of (e + 2f)10?

Revolt · Accepted Answer

10C3(e7)(2f)3

Question 3

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

Revolt · Accepted Answer

12C8(3)8

Question 4

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

Revolt · Accepted Answer

The last term is –x9.

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 (2x + 3)5?

Revolt · Accepted Answer

6

Question 7

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

Revolt · Accepted Answer

–73,728r11s

Question 8

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

Revolt · Accepted Answer

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

Question 9

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 10

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

Revolt · Accepted Answer

1

The Binomial Theorem Answers