decomposes a polynomial, if possible, into a composition of simpler polynomials.
Details and Options
- Decompose gives a list of the polynomials Pi which can be composed as to give the original polynomial.
- The set of polynomials Pi is not necessarily unique.
- Decomposition is an operation which is independent of polynomial factorization.
Examplesopen allclose all
Wolfram Language solvers use Decompose automatically:
Properties & Relations (2)
Composition of polynomials given by Decompose gives the original polynomial:
Use Fold to compose the polynomials:
Use Expand to show that the result is equal to f:
Use Factor to represent a polynomial as a product of irreducible factors:
Possible Issues (1)
Decompose ignores possible decompositions with inner polynomials that are linear: