11.3.7 Exact values of the complex rational roots of a polynomial
The crationalroot
command finds complex rational roots of polynomials.
-
crationalroot takes one mandatory and two optional
arguments:
-
P, a polynomial.
- Optionally, α and β, two complex numbers.
- crationalroot(P) returns the list
of the value of the rational roots of P without
multiplicity.
- crationalroot(P,α,β) returns the list
of the rational roots of P which are
in the rectangle with sides parallel to the
axis having [α,β] as opposite vertices.
Example
Find the rational complex roots of
(x2+4)(2x−3)=2x3−3x2+8x−12:
| crationalroot(2*x^3-3*x^2+8*x-12) |