Google Search Autocomplete
How does Google search autocomplete work?
It's pretty straightforward: When someone begins typing in Google's search box, Google's algorithm performs a prediction of possible search queries and shows a drop-down list of related words and phrases. The search predictions are based on factors like popularity and freshness, and will show: The terms you are typing.
How can I get rid of negative auto search suggestions in Google’s search box?
In theory, the best way to flush out unwanted Google suggestions is to create sufficient search volume for at least ten positive suggestions appended to your brand name or personal name. This way, You are effectively manipulating Googles algorithm. This is not to say it is so easy and will work for everyone - it requires a list of other factors in order to work.