Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.
|
|
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.
Thank you for any comments.
|
|
|
|
