Answer: The three integers are x = -7, x+1 = -6 and x+2 = -5.
Explanation:
We can set up the equation: x(x+1)(x+2) = -210, where x, x+1, and x+2 are the consecutive integers.
To solve for x, we can start factoring -210.
-210 = -1210 = -12105 = -1370 = -12514 = -12572
Since we are looking for three consecutive integers, we know that one of the factors must be -1 and the other two factors must be a pair of integers.
-1 * 2 * 5 * 7 = -70
-1 * 2 * 5 * 14 = -140
-1 * 3 * 7 = -21
So, the three integers are x = -7, x+1 = -6 and x+2 = -5.