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2017-07-08, 01:39   #3
Dr Sardonicus

Feb 2017
Nowhere

10111000101002 Posts

Quote:
Originally Posted by Nick
(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.