Compute with the exact root of a polynomial :

In exact computations,

**Example**

Let be the root with largest imaginary
part of
*Q*(*x*) = *x*4 + 10*x*2 + 1 (all roots of *Q* have real part equal to 0).

- Compute
. Input :
`normal(1/rootof([1,0],[1,0,10,0,1]))`*P*(*x*) =*x*is represented by [1,0] and by`rootof([1,0],[1,0,10,0,1])`.

Output :`rootof([[-1,0,-10,0],[1,0,10,0,1]])`= - 3 - 10 - Compute 2. Input :
`normal(rootof([1,0],[1,0,10,0,1])``^`

2)*P*(*x*) =*x*2 is represented by [1,0,0]) input`normal(rootof([1,0,0],[1,0,10,0,1]))``-5-2*sqrt(6)`