The Binomial Theorem

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

A) 10C3(e7)(2f)3

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

B) 15

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

C) 6

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

B) 1, 6, 15, 20, 15, 6, 1

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

A) (2x)5 - 15(2x)4 + 90(2x)3 - 270(2x)2 + 405(2x) - 243

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

C) The values of nC0 and nCn are equal to 1.

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

C) 10

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

D) 120

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

B) 10C5(2)5(-3)5

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

D) 12C8(3)8

The Binomial Theorem - Subjecto.com

The Binomial Theorem

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

A) 10C3(e7)(2f)3

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

B) 15

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

C) 6

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

B) 1, 6, 15, 20, 15, 6, 1

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

A) (2x)5 – 15(2x)4 + 90(2x)3 – 270(2x)2 + 405(2x) – 243

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

C) The values of nC0 and nCn are equal to 1.

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

C) 10

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

D) 120

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

B) 10C5(2)5(-3)5

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

D) 12C8(3)8

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