9
QuizMultiple Choice

The Binomial Theorem

Question 9 • Adv. Algebra II S1 Original

Which statement about the binomial expansion of (x2 – x)9 is true?

Answer
A
The first term is –x18.
B
The second term is 9x17.
C
The third term is 36x14.
D
The last term is –x9.

Explanation

In the binomial expansion, the last term comes from choosing −x from all 9 factors, giving (−x)^9 = −x^9. So the statement that the last term is −x^9 is true. The first term is x^18, not −x^18.

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