Find two integers whose sum - 7 and whose product is 12

So we factor 12

remember that (-) times (-) = (+)

and

(-) + (-) = (-) so therefor the factors must be negative

factor 12

2,2,3

we have

-2 times - 6 which adds to - 8

-3 times - 4 wihch adds to - 7

the numbers are - 3 and - 4

The two integers are - 3 and - 4. - 3 + - 4 is - 7. And multiplied together, it is 12.