7
QuizMultiple Choice

The Binomial Theorem

Question 7 • Adv. Algebra II S1 Original

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

Answer
A
1, 8, 28, 56, 70, 56, 28, 8, 1
B
1, 6, 15, 20, 15, 6, 1
C
1, 5, 10, 10, 5, 1
D
1, 4, 6, 4, 1

Explanation

For the expansion of (p + q)^6, the coefficients come from the sixth row of Pascal’s triangle, or from the binomial coefficients C(6, k) for k = 0 through 6. These are 1, 6, 15, 20, 15, 6, 1, so the correct choice is B.

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