11
QuizMultiple Choice

Unit Test — Unit test

Question 11 • TX-Pre-Calculus

Which statement about the simplified binomial expansion of (a – b)n, where a, b and n are positive integers, is true?

Answer
A
All terms of the expansion are positive.
B
All terms in the expansion are negative.
C
The first term in the expansion is positive.
D
The first term in the expansion is negative.

Explanation

The binomial expansion begins with aⁿ, since the first term comes from choosing a from every factor. Because a is a positive integer, aⁿ is positive. The later terms alternate signs because the expression contains −b, but the first term is positive; therefore, choice C is correct.

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