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MinimalPolynomial

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MinimalPolynomial[s, x]

gives the minimal polynomial in x for which the algebraic number s is a root.

• • MinimalPolynomial[7, x]

• • MinimalPolynomial[Sqrt[2] + Sqrt[3], x]

• • MinimalPolynomial[Sqrt[1 + Sqrt[3]], x]

• • MinimalPolynomial[Sqrt[I + Sqrt[6]], x]