[R] solving 10oth-order polynom

[Carl Witthoft]

I'm one of the many who is far more interested in the reason for the 
request than in the numerical method to use.  The way I see it, the 
methodology of, say, polyroot()  suffices in a mathematical sense.  If 
your coefficients are mathematically exact (as opposed to measured 
values), the near-singularities and such don't really matter, assuming 
infinite precision math.  So, what I'd like to know is:

--Is this some attempt to fit horrific data to a polynomial?
--Is this the start of an attempt at finding some intermediate theorems 
to simplify the root search (sort of like the theorems which allow one 
to sort primes without dividing the candidates by every single lesser 
prime)?

Carl