Isn't this called Newton's Sums instead of Newton sums?
Most people I know call them Newton sums, but I believe the "proper" term is Newton-Gerard Identities. --ComplexZeta 22:41, 22 August 2006 (EDT)
How can the sum of squares equal a negative number (or does the polynomial have imaginary roots?). --Sean 17:22, 7 November 2006 (EST)
Come now, you should be able to figure that one out for yourself (especially since 1 is a root of the polynomial). --JBL 17:31, 7 November 2006 (EST)
OK, wow, stupid question. Whoooops! --Sean 22:35, 7 November 2006 (EST)
Should we change the example to find instead? Reason being, this would show how to use the sums for higher powers, showing that you still only have 4 terms in your equation when you go for a sum that is greater than 4? (i.e. and then (Hopefully you get my meaning) (this was something that confused me when I started learning Newton sums). --Sean 22:40, 7 November 2006 (EST)