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Topic: Simple (?) Polynomial Result
Replies: 10   Last Post: Jan 16, 2011 1:42 PM

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 Anna R. Posts: 3 Registered: 8/31/10
Simple (?) Polynomial Result
Posted: Aug 31, 2010 10:24 PM

I'm working through a book and reached the result below. Verying the truth
of the statement is claimed to be easy but I've had little luck. Any ideas
how to proceed?

Let f(x) be a monic polynomial in Q[x] of degree n where n happens to be
even. Then there exist polynomials g(x) and h(x) such that f(x)=g(x)^2-h(x)
and g(x) has degree 1/2*n and h(x) has degree at most 1/2*n-1.

Date Subject Author
8/31/10 Anna R.
9/1/10 Chip Eastham
9/2/10 Frederick Williams
9/1/10 The Qurqirish Dragon
9/2/10 Anna R.
9/1/10 Paul Sperry
9/2/10 Paul Sperry
9/2/10 Anna R.
9/7/10 hagman
9/14/10 Ara M Jamboulian
1/16/11 George Cornelius