It will NOT charge at all ? If it won't charge, it is likely dead. If your computer is within warranty, you should have the battery replaced under warranty.
If it won't charge at all, take the battery out and try running the computer only with the AC-DC power adapter brick, if that works, try inserting the battery back. If it still won't charge, the battery likely needs a replacement. This likely eliminates the possibility that the AC-DC power adapter is at fault.
A different possibility is that the charging circuitry in the laptop is not working.
THere could be other causes/issues, but try those steps first to see if you can isolate the cause.