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6.27.21  Computing with the exact root of a polynomial: rootof

The rootof command finds the value of one polynomial at a root of another.

In exact computations, Xcas will rewrite rational evaluations of rootof as a unique rootof with degree(P)<degree(Q). If the resulting rootof is the solution of a second degree equation, it will be simplified.


Example.
Let α be the root with largest imaginary part of Q(x)=x4+10x2+1 (all roots of Q have real part equal to 0).


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