This is the Chatham House Forum with Jonathan Powell, a key figure in the Belfast Agreement negotiations. He explains why negotiating with terrorists is necessary.
https://www.chathamhouse.org/event/chatham-house-forum-should-governments-negotiate-terrorists
The European Institute of Peace website discusses the different directions terrorist groups can go in and when it is appropriate to engage in dialogue
http://www.eip.org/en/news-events/negotiating-terrorists
The Wikipedia page on terrorism explains the most common circumstance in which governments refuse to negotiate i.e. hostage situations.
https://en.wikipedia.org/wiki/Government_negotiation_with_terrorists
The Public Broadcasting Services’ News Hour in the USA looks at America’s tougher negotiating stance on terrorism and problems with it. Video and transcript.