Answer
If $ax^{2}+bx+c=(x+n)(x+m)$, where n and m are integers,
the product of integers n and m is $c$
their sum is $b.$
Work Step by Step
If the trinomial can be factored, it will be in the form $(x+n)(x+m)$, where
the product of integers n and m is $c$
their sum is $b.$
So if c is positive, both n and m have the same sign.
If c is negative, n and m have different signs.