Romania 2013 p4 grade 12

Given n\ge 2 a natural number, (K,+,\cdot ) a body with commutative property that \underbrace{1+...+}_{m}1\ne 0,m=2,...,n,f\in K[X] a polynomial of degree n and G a subgroup of the additive group (K,+,\cdot ), G\ne K.Show that there is a\in K so f(a)\notin G.

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s