(mathematics) A real, multivariate homogeneous polynomial p(x) is hyperbolic (in direction e) if p(x-te) = 0 has only real roots as a function of t.

(algebra) Any algebraic equation in which one or both sides are in the form of a polynomial.

(mathematics) Any function whose value is the solution of a polynomial; an element of a subring of the ring of all functions over an integral domain, which subring is the smallest to contain all the constant functions and also the identity function. (If the polynomial is multivariate then there is a different identity function corresponding to each variable.)

(mathematics) a polynomial such that the sum of the exponents of the variables is the same for every term.

(mathematics) Alternative spelling of homogeneous polynomial

(mathematics) The complexity class where the runtime can be bounded (from above) by a polynomial in the input size.

(mathematics) Of an algorithm, which terminates in polynomial time.

(linear algebra) The polynomial produced from a given square matrix by first subtracting the appropriate identity matrix multiplied by an indeterminant and then calculating the determinant.

(algebra) A polynomial which remains unchanged if its variables are permuted

plural of symmetric polynomial