Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear factors.
3mn - 6m + 7n + ___
First let's try and factor what we can first. Since the coefficient of m is -6, then we know that the first part of the parenthesis when factored should look something like this:
(3m _ _)(n _ _)
Then we can plug in some values, since we know that the coefficient of m is -6, we divide -6 by 3, and get -2. Then the expression is:
(3m _ _)(n - 2)
Since the coefficient of n is 7, then the expression is:
(3m + 7)(n - 2).
When done factoring, the expression should look like:
Once the parenthesis are opened, you will see that the constant is -14.