The Binomial Theorem Pre-Test 100% Algebra 2.2

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

The values of nC0 and nCn are equal to 1.

What is the coefficient of the last term in the binomial expansion of (x + 1)9? 0 1 9 10

B.) 1

Which expression represents the fourth term in the binomial expansion of (e + 2f)10? 10C3(e7)(2f)3 10C3(e7)(f)3 10C4(e6)(2f)4 10C4(e6)(f)4

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

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

A.) -73,728r11s

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

A.) 64x6 + 144x4 + 108x2 + 27

What is the coefficient of the third term in the binomial expansion of (a + b)6? 1 15 20 90

B. 15

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

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

How many terms are in the binomial expansion of (2x + 3)5? 4 5 6 7

C.) 6

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

D.) 12C8(3)8

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

D.) The last term is -x9.