$ sudo apt-get remove resolvconf 

Uninstall resolvconf including dependent package

If you would like to remove resolvconf and it's dependent packages which are no longer needed from Ubuntu,

$ sudo apt-get remove --auto-remove resolvconf 

Use Purging resolvconf

If you use with purge options to resolvconf package all the configuration and dependent packages will be removed.

$ sudo apt-get purge resolvconf 

If you use purge options along with auto remove, will be removed everything regarding the package, It's really useful when you want to reinstall again.

$ sudo apt-get purge --auto-remove resolvconf 

See Also,