Answer:
-4 and -2
2 and 4.
Step-by-step explanation:
Let n be the first even integer.
Then the consecutive even integer will be represented by (n+2).
We know that their product is 8. So:
Solve for n. Distribute:
Subtract 8 from both sides:
Factor:
Zero Product Property
Solve for n for each case:
Hence, we will have two correct solutions.
Case 1: -4 and -2. -4(-2) is indeed 8.
Case 2: 2 and 4. 2(4) is also 8.
Hence, our solutions are:
-4 and -2
2 and 4.