Answer:
E) 0
Step-by-step explanation:
You want to identify the value on the given list that is the product of three consecutive integers.
If we let n represent the middle of the three integers, then we have ...
product = (n -1)(n)(n +1) = n(n² -1)
We can see that when n is even, the product will be (even)×(odd) = even.
When n is odd, the product will be (odd)×(even) = even.
This eliminates choices B and D.
The zero product rule tells us that the product will be 0 if n=0, which is to say that the product of the consecutive integers -1, 0, 1 will be 0.
The product must have three consecutive integer factors, so cannot be 2 or 8. This eliminates choices A and C.
8 = 1·2·4 . . . non-consecutive integers
2 = 1·1·2 . . . non-consecutive integers
