2
QuizMultiple Choice

The Binomial Theorem — Quiz

Question 2 • Algebra II

What are the coefficients for the binomial expansion of open paren p plus q close paren to the 6th power ?

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

Explanation

For (p + q)^6, the coefficients are the binomial coefficients in row 6 of Pascal’s triangle, found using ⁶C₀ through ⁶C₆. They are 1, 6, 15, 20, 15, 6, 1, so the correct choice is C, “1, 6, 15, 20, 15, 6, 1.”

AI-written and checked against the verified answer.

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