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Originally Posted by Nick
(Originally Posted by Dr Sardonicus)
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...Clearly the lead coefficient is 1...
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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.