How do I make the report remove the False Positives all together without having to manually add the filter each time?
Any help would be much appreciated..
You want to set a default filter for specific pages, particularly in your case a Results filter. The default filter for a page is set in your user settings , not directly on the Reports page.
Create a filter, from the Results page, and at the bottom, save it (see screenshot). Then set it as the default filter for the Results page from the user settings page - Filters tab. The user settings are found in the top right-hand menu.