Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Topic: can someone point me to the proof that
Replies: 9   Last Post: Jul 24, 2013 10:39 AM

 Messages: [ Previous | Next ]
 Leon Aigret Posts: 31 Registered: 12/2/12
Re: can someone point me to the proof that
Posted: Jul 21, 2013 6:48 PM

On Mon, 22 Jul 2013 00:40:51 +0200, Leon Aigret
<aigret.not@myrealbox.invalid> wrote:

>On Sun, 21 Jul 2013 14:24:16 -0700 (PDT), lax.clarke@gmail.com wrote:
>

>>can someone point me to the proof that polynomials over infinite fields can be uniquely mapped to polynomial functions
>>
>>i.e., no two polynomials are the same function over finite fields

>
>The difference of the polynomials would be a non-trivial polynomial
>with infinitely many roots. Proving that a polynomial of degree n can
>have at most n roots is not that hard.

Except for n = 0 of course.

Leon

Date Subject Author
7/21/13 Lax
7/21/13 Bart Goddard
7/21/13 Lax
7/22/13 David C. Ullrich
7/23/13 Bart Goddard
7/24/13 David C. Ullrich
7/21/13 Leon Aigret
7/21/13 Leon Aigret
7/21/13 magidin@math.berkeley.edu
7/21/13 magidin@math.berkeley.edu