Official Solution:

If \(x\) is a positive integer, which of the following is not necessarily a divisor of \(x(x + 1)(x + 2)\)?

A. \(x\)

B. 2

C. 3

D. 4

E. 6

We’ll go for ALTERNATIVE since we’re asked about an expression with variables.

When looking at the answers, \(x\) is definitely a divisor, since it is a multiplier in the expression itself. But what about the rest of the answers? Since this is an expression with only letters, we can pick a number: \(x = 1\) gives us \(1 × 2 × 3 = 6\). So 2, 3, and 6 are all divisors of 6, but 4 isn’t.

Answer: D

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