You need to go to your research folder, then click on the paper that you want to delete. When the page will appear, click on the rightmost button below the research title (this starts with overview....). There is an option to remove the paper.
See also the instructions at https://explore.researchgate.net/display/support/How+to+make+content+private+or+remove+it. RG's algorithm to assign publications to profiles automatically does not work so well, so this is a frequent error, especially if there are users with similar names.