What is your goal in testing the change password page? Each time we "want to test a page", we should have a goal in mind. The goal will dictate what we need to do. If you wan to change password permissions for each role and run through different password length complexities my recommendation is you don't do it through the UI. Unless your goal is to test how the UI handles the various conditions. In which case maybe roles play a small role.

This is the correct answer IMO.

@DarkTrick fixed the link

@ScottPrive yeah good point. I wish I could edit my statement.

Just to clarify, exploratory testing isn't a technique (a way to to run and group similar tests), it's an approach. Which is to say you can take an exploratory approach to most techniques any test technique (or for that matter a more scripted approach if you like).