Decomposition

 

In Macsyma

For comparison with other CAS choose from: Axiom Derive Maple Mathematica Reduce

inputs outputs

• decomposing a polynomial into simpler polynomials which when composed, produce the original polynomial

      polydecomp(x^6+9*x^5+52*x^4+177*x^3+435*x^2+630*x+593, x);
  

                                                2
                      3       2                x  - 9
                    [x  + 25 x  + 210 x + 593, ------, 2 x + 3]
                                                 4

      polydecomp(x^4+2*x^3*y + 3*x^2*y^2 + 2*x*y^3 + y^4 + 2*x^2*y
             +2*x*y^2 + 2*y^3 + 5*x^2 + 5*x*y + 6*y^2 + 5*y + 9, x);
  

                        2          2          2
                       x  + 11  3 y  + 4 y + x  + 10
                      [-------, --------------------, y + 2 x]
                          4              2