Answer
The only factors of 3 are 1 and 3, and the sum of 1 and 3 is 4.
Work Step by Step
With $2x$ as the middle term, two integers would have to add to 2 and multiply to 3. Since the only factors of 3 are 1 and 3 (and they add to 4), there are no integer solutions to factoring the trinomial.
