[math-fun] What does it mean?
If I consider a polynomial in integers, e.g. 4x^4 + 7x^2 - x + 1, then I can say that this is; (x+1)[1 - 2x + 9x^2 - 9x^3 + 13x^4 - 13x^5 + 13x^6 - ...] Does this mean anything? Jon Perry perry@globalnet.co.uk http://www.users.globalnet.co.uk/~perry/maths/ http://www.users.globalnet.co.uk/~perry/DIVMenu/ BrainBench MVP for HTML and JavaScript http://www.brainbench.com
Yes, for |x| < 1, the values of x for which the series converges, it's an identity: 4x^4 + 7x^2 - x + 1 = (x+1)[1 - 2x + 9x^2 - 9x^3 + 13x^4/(1+x)] On Tue, 22 Jun 2004, Jon Perry wrote:
If I consider a polynomial in integers, e.g. 4x^4 + 7x^2 - x + 1, then I can say that this is;
(x+1)[1 - 2x + 9x^2 - 9x^3 + 13x^4 - 13x^5 + 13x^6 - ...]
Does this mean anything?
Jon Perry perry@globalnet.co.uk http://www.users.globalnet.co.uk/~perry/maths/ http://www.users.globalnet.co.uk/~perry/DIVMenu/ BrainBench MVP for HTML and JavaScript http://www.brainbench.com
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