# The Binomial Theorem

Total word count: 170
Pages: 1

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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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