Binomial Theorem quiz

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Find the seventh term of the expansion of (-3x-2y)^11

A. 462 (-3x)^5 (-2y)^6

Rafael is taking a test that contains a section of 12 true-false questions. How many of the possible groups of answers to these questions have exactly 8 correct answers of false?

B. 495

Find the middle term of the expansion of (sqrtX+sqrtY)^8

B. 70x2y2

What is the sign of the second term of the expansion of (x - y)n for n = 3, 4, and 5?

B. negative

Find the 7th term of the expansion of (3c + 2d)9.

C. 145,152c3d6

Write an expression to represent the sum of the numbers in the nth row of Pascal's triangle.

C. 2^N

Find the seventh term of the expansion of (3x+7y)^11

C. 462(3x)^5(7y)^6

Each term in a binomial expansion has degree n; therefore, the product of the exponents of each term is n.

False

Rafael is taking a test that contains a section of 12 true-false questions. How many of the possible groups of answers to these questions have at least 6 correct answers of true?

NOT C

A coin is flipped five times. Find the number of possible sets of heads and tails that have 0 heads.

NOT D

Find the 4th term of the expansion of (a - )8

NOT D

Find the 6th term of the expansion of (2p - 3q)11.

b. -7,185,024p6q5

Find the 8th term of the expansion of (1/2x-y)^10

d. -15x3y7

A coin is flipped five times. Find the number of possible sets of heads and tails that have 2 heads.

d. 10

Find the 5th term of the expansion of (x + y)9.

d. 126x5y4


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