2.29.4 Exact values of the complex rational roots of a polynomial : crationalroot
crationalroot takes 1 or 3 arguments : a polynomial and
optionnally two complex numbers α,β.
-
If crationalroot has 1 argument, crationalroot returns the
list of the complex rational roots of the
polynomial without multiplicity.
- if crationalroot has 3 arguments, crationalroot returns only
the complex rational roots of the
polynomial which are in the rectangle with sides parallel to the
axis having [α,β] as opposite vertices.
To find the rational complex roots of
(x2+4)*(2x−3)=2*x3−3*x2+8*x−12, input :
crationalroot(2*x^
3-3*x^
2+8*x-12)
Output :
[2*i,3/2,-2*i]