The highest power in a univariate polynomial is known as its degree, or sometimes "order." For example, the polynomial P(x) = a_n x^n + ... + a_2 x^2 + a_1 x + a_0 is of degree n, denoted deg P(x) = n. The (structural) degree of a polynomial is implemented in the Wolfram Language as Exponent[poly, x]. Richardson's theorem proves that it is recursively undecidable to determine the degree of an arbitrary polynomial.
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