7
QuizMultiple Choice

Topic Test

Question 7 • EA Pre-Calculus Credit Recovery

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

Answer
A
positive
B
negative

Explanation

In the binomial expansion of (x - y)^n, the second term comes from choosing -y once, so it is n x^(n-1)(-y) = -n x^(n-1)y. The coefficient is negative for each of n = 3, 4, and 5, so the second term is negative. The correct choice is negative.

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