5
QuizMultiple Choice

The Binomial Theorem

Question 5 • Adv. Algebra II S1 Original

What is the coefficient of the x4-term in the binomial expansion of (x + 3)12?

Answer
A
12C7(3)7
B
12C8
C
12C4(3)4
D
12C8(3)8

Explanation

By the binomial theorem, the term containing x⁴ is formed by choosing x from 4 of the 12 factors and 3 from the remaining 8. Its coefficient is ¹²C₄ · 3⁸, which equals ¹²C₈ · 3⁸ because ¹²C₄ = ¹²C₈. Therefore, the correct choice is ¹²C₈(3)⁸.

AI-written and checked against the verified answer.

Previous
Next