6.27.23  Coefficients of a polynomial defined by its roots: pcoeff pcoef

The pcoeff command reconstructs a polynomial from its roots.
pcoef is a synonym for pcoeff.

• pcoeff takes one argument:
  roots, a list of the roots of a polynomial P.
• pcoeff(roots) returns the monic polynomial having these roots, represented as the list of its coefficients in decreasing order.

Example.
Input:

Output:

i.e. (x−1)(x−2)(x²)(x−3)=x⁵−6x⁴+11x³−6x².