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Old 2017-07-08, 01:39   #3
Dr Sardonicus
 
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Feb 2017
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Quote:
Originally Posted by Nick View Post
(Originally Posted by Dr Sardonicus)
Quote:
...Clearly the lead coefficient is 1...
I'm not sure I follow you there...
That's because I didn't state my hypotheses clearly


It's clearly true if the reciprocal polynomial F(z) is irreducible in Q[x] and has degree greater than 1. In this case, the zeroes occur in reciprocal pairs, so the constant term is 1. The lead coefficient is therefore also 1.
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