Tuesday 21 January 2014

f has a rational root

Let f and g be two nonzero polynomials with integer coefficients and deg f  > deg g.
Suppose that for infinitely many primes p the polynomial pf + g has a rational root. Prove
that f has a rational root.
at
Labels:

No comments:

Post a Comment

Subscribe to: Post Comments (Atom)

Define \(f: \mathbb{R} \rightarrow \mathbb{R}\) by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, &a...