The product of two consecutive even integers is 8. Find the integers. Note: each set of brackets represents one solution.

-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.

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