22
QuizMultiple Choice

Unit Test — Unit test

Question 22 • TX-Pre-Calculus

What is the fifth term in the binomial expansion of (x + 5)8?

Answer
A
175,000x3
B
43,750x4
C
3,125x5
D
7,000x5

Explanation

In the expansion of (x + 5)^8, the fifth term uses r = 4 in the binomial formula: C(8,4)x^(8−4)5^4. Since C(8,4) = 70 and 5^4 = 625, the term is 70 × 625x^4 = 43,750x^4. The fifth term is 43,750x^4, choice B.

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