On Apr 14, 2:08 pm, Rob Beezer <goo...@beezer.cotse.net> wrote:

> Rinse, repeat.  First iteration is below.  By the time I get to degree
> 3 the factorizations are taking about 8 hours.  My question: is there
> a more efficient way to do this?

Divisions are faster than the factorization - divide by (x-a), then by
(x-b), then by (x-c). Now, the last step takes a long time, but it is
not actually necessary - the polynomial is x^2 + (c + b + a)*x + c^2 +
(b + a)*c + b^2 + a*b + a^2, so dividing it by (x-d), we get (x+a+b+c
+d).

Alec

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