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From our dictionary:
dem•a•gogue

(dem'u•gog",•-gôg"),
n., v., -gogued, -gogu•ing.

n.
1. a person, esp. an orator or political leader, who gains power and popularity by arousing the emotions, passions, and prejudices of the people.
2. (in ancient times) a leader of the people.

v.t.
to treat or manipulate (a political issue) in the manner of a demagogue; obscure or distort with emotionalism, prejudice, etc.

v.i.
to speak or act like a demagogue. Also,dem'a•gog".