On Wednesday, January 15, 2014 2:17:10 PM UTC-8, rjf wrote:
>
> If the polynomial is multivariate, you need to specify the 
> quotient/remainder "main variable".
> I don't see it in the syntax you give below.
> consider   x+y divided by x-y. can give  1 with remainder 2y.
> It can also give -1 with remainder 2x.
> RJF
>
> PS,  I think it is unfortunate if a user of Sage must know what is meant 
> by a polynomial ring in order to
> do something from high school algebra.  Just saying.
>

Even if it's a univariate polynomial, the lcm, or the quotient and 
remainder for that matter, depend on the ring in which you're working: is 
it Z[x], Q[x], Q(x), etc.? So is it really unfortunate that someone has to 
be mathematically precise to get a valid mathematical answer? I think that 
some people may be taught in high school that a quadratic like x^2+1 has no 
roots. Is it unfortunate that someone has to know the difference between R 
and C to "do something from high school algebra"?

-- 
John

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