The Binomial Theorem
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 expression represents the fourth term in the binomial expansion of (e + 2f)10?
A) 10C3(e7)(2f)3
What are the coefficients for the binomial expansion of (p + q)6?
B) 1, 6, 15, 20, 15, 6, 1
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 third term in the binomial expansion of (a + b)6?
B) 15
How many terms are in the binomial expansion of (3x + 5)9?
C) 10
How many terms are in the binomial expansion of (2x + 3)5?
C) 6
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.
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 x4-term in the binomial expansion of (x + 3)12?
D) 12C8(3)8