I am in the same boat you are.  I just failed a poly with a major metropolitan police department and now I am wondering to what extent this will affect my applications with other departments.

Ronin, I am more worried about the department I tested with revealing the results to other local departments.  The best case scenario would be you getting to reveal it to them first and getting to explain your side of the story.   

If anyone has any insight into these or similar situations, I also would be grateful to hear it.   

Also, as a side note, Ronin, I have heard nothing but bad things about the LAPD hiring process and I personally would not consider testing with them.  There are plenty of other good departments in California that will not put you through the hassle.