MinimalPolynomial

MinimalPolynomial[s, x] gives the minimal polynomial in x for which the algebraic number s is a root.

• MinimalPolynomial[u, x] gives the minimal polynomial of the finite field element u over p.
• MinimalPolynomial[u, x, k] gives the minimal polynomial of u over the p^k-element subfield of the ambient field of u.
• MinimalPolynomial[u, x, emb] gives the minimal polynomial of u relative to the finite field embedding emb.

Examples

MinimalPolynomial[Sqrt[2], x]

MinimalPolynomial[2^(1/3) + Sqrt[3], x]

Please visit the official Wolfram Language Reference for more details.