You may if you wish to minimize the information Facebook stores about you or merely eliminate irrelevant or undesired search items. To begin, visit Facebook, log in to your account, and navigate to your Home page. Select "Activity Log" from the drop-down menu by clicking the down arrow in the upper-right corner of the page. On the left side of the Activity Log screen, a selection of options appears. To enlarge the list, click "More" beneath "Comments." A date-ordered list of all your searches is provided. To remove a single search result, click the block symbol to the right of the result and choose "Delete" from the drop-down menu.