# degree 4

• August 23rd 2008, 11:56 PM
puneet
degree 4
Give an example, with justification?
An element of Q[x] of degree 4, with no roots in Q?
• August 24th 2008, 12:36 AM
kalagota
Quote:

Originally Posted by puneet
Give an example, with justification?
An element of Q[x] of degree 4, with no roots in Q?

too many.. here is one..

$x^4+1$

it doesn't even have any roots is $\mathbb{R}$.. Ü