Hi,
First, make sure that the TV is set to the correct input which is HDMI. Next on your laptop press the Windows key + P at the same time and select between Duplicate or Extended display then press Enter. If it will still not work do also try to uninstall/reinstall the graphics driver.
- Go to Device Manager and uninstall the graphics driver.
- Next is to open Programs and Features then uninstall anything related to the graphics card.
- Once uninstalled, download and install the latest driver.
- Reboot your laptop once the driver has been installed then test it again.
- If all these will still not work then the adapter can be the cause.
- Do try a different monitor that using VGA only and see if that will work or not.