Bill Page wrote;
> 
> Why is
> 
> > (4) -> p+q
> >
> >    (4)  q + p
> 
Compare:

(40) -> (p+q)^3

          3       2     2     3
   (40)  q  + 3p q  + 3p q + p
                                                    Type: Polynomial(Integer)

q is lexicographically greater than p, so is the main variable.
Polynomial is written starting from highest power of main
variable.  Powers of main variable may be multiplied by coefficients.
If present coefficients appear before power of main varibable.
I do not remember those rules written explicitely, by AFAICS
this is the most popular way of writing polynomials (modulo
fact that in ordinary math surrounding text may tell you
that z is a parameter and x is main variable).

-- 
                              Waldek Hebisch

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