I was confused on how I am wrong on this question. When I checked by putting in values for $x$, I was correct, and this cannot be factored further.
Ignore the other submissions other than the last one (my final answer). Is there something I'm doing wrong, or any pointers to go on the correct path? Thanks a bunch!

I'm in agreement with you. This appears to be a mistake. $2x^2+x+3$ doesn't factor...