Find the number that we can place in the box, so that the resulting expression can be factored as the product of two linear factors.
\[3mn - 6m + 5n + \boxed{\phantom{00}}\]

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?