(In reply to A Guess
I looked around and I am willing to bet that the expression given in the problem can be factorised in terms of Vieta's formula for Polynomial roots ( ref: http://mathworld.wolfram.com/VietasFormulas.html)This would provide another likely avenue to deduce or verify the final answer to this problem.
Edited on June 16, 2006, 10:14 am
Edited on June 16, 2006, 10:16 am
Edited on June 16, 2006, 10:22 am