6
QuizMultiple Choice

The Binomial Theorem

Question 6 • EA Pre-Calculus Credit Recovery

Find the 5th term of the expansion of (x + y)9.

Answer
A
81x4y5
B
126x4y5
C
81x5y4
D
126x5y4

Explanation

For the expansion of (x + y)^9, the 5th term uses the binomial coefficient \(\binom{9}{4}\), with powers \(x^{9-4}y^4\). Since \(\binom{9}{4}=126\), the term is \(126x^5y^4\), which is choice D.

AI-written and checked against the verified answer.

Previous
Next