Hello,
Actually what you need is Reverse SEO/Reputation management. There are two ways to do this task.
1. Improve the positive results about your site. This can be done by boosting the positive results about the site by creating blogs, micro sites, social media presence, Press releases, positive reviews etc and doing SEO for them.
2, Suppressing the negative links by doing some negative link building on that site.
We can do the both for better results.
Remember : Its difficult to suppress the top 3 negative results, and it takes time.
Important : Its really important to identify all the phrases which will return a negative result while doing a search.
About Us : We have strong knowledge about SEO and search engines, So we can do that simply. We have completed 2 high level reputation management recently. Please check my last 5 projects.
Let me know if you are interested.