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Minimal polynomial

given an element α of a field extension E/F, the unique monic polynomial p∈F[x] of minimal degree such that p(α) = 0

Pronunciation
/ˈmɪnəməl ˌpɑləˈnoʊmiəl/
/ˈmɪnɪməl ˌpɒlɪˈnəʊmɪəl/