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 4.9.3 Commands and Functions for Polynomials
The following are commands and functions for polynomials:
 Bin binomial coefficient BringIn bring in objects from another ring Coefficients list of coefficients of a polynomial or vector CoeffOfTerm coefficient of a term of a polynomial or vector Colon ideal or module quotient Deg the degree of a polynomial or vector Den denominator DensePoly the sum of all power-products of a given degree Der the derivative of a rational function Discriminant the discriminant of a polynomial DivAlg division algorithm Eval substitute numbers or polynomials for indeterminates Factor factor a polynomial Fraction returns the quotient of its arguments GCD greatest common divisor GenRepr representation in terms of generators HColon ideal or module quotient Homogenized homogenize with respect to an indeterminate Interpolate interpolating polynomial Inverse multiplicative inverse IsHomog test whether given polynomials are homogeneous IsIn check if one object is contained in another IsTerm checks if the argument is a term IsZero test whether an object is zero Jacobian the Jacobian of a list of polynomials LC the leading coefficient of a polynomial or vector LCM least common multiple Len the length of an object LM the leading monomial of a polynomial or vector Log the list of exponents of the leading term of a polynomial LogToTerm returns a monomial (power-product) with given exponents LPP the leading power-product of a polynomial or vector LT the leading term of an object MapDown convert a constant polynomial to a number MDeg multi-degree of an polynomial Monic divide polynomials by their leading coefficients Monomials the list of monomials of a polynomial or vector NF normal form NFsAreZero test if normal forms are zero NR normal reduction Num numerator Poly convert an expression into a polynomial Product the product of the elements of a list QZP change field for polynomials and ideals Randomize randomize the coefficients of a given polynomial Randomized randomize the coefficients of a given polynomial RealRootRefine refine a real root of a univariate polynomial RealRoots computes the real roots of a univariate polynomial RealRootsApprox computes approximations to the real roots of a univariate polynomial Resultant the resultant of two polynomials RootBound bound on roots of a polynomial over Q Size the amount of memory used by an object StarPrint print polynomial with *'s for multiplications Subst substitute values for indeterminates Sum the sum of the elements of a list Support the list of terms of a polynomial or vector Sylvester the Sylvester matrix of two polynomials UnivariateIndetIndex the index of the indeterminate of a univariate polynomial WLog weighted list of exponents ZPQ change field for polynomials and ideals

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