18
QuizMultiple Choice

Polynomial Operations — Test

Question 18 • Algebra II

Which statement about the simplified binomial expansion of open paren A minus b close paren to the n th power , where n is a positive integer, is true?

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

Explanation

In the binomial expansion of (A − b)^n, the first term is A^n. Since n is a positive integer, this term has no negative sign in front of it, so the first term is positive. The remaining terms alternate signs, so it is not true that all terms are negative.

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