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, :, HColon -- ideal or module quotient
* Deg -- the degree of a polynomial or vector
* 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, LCM -- greatest common divisor, least common multiple
* GenRepr -- representation in terms of generators
* 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
* 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, Den -- numerator, denominator
* Poly -- convert an expression into a polynomial
* Product, Sum -- the product or sum of the elements of a list
* QZP, ZPQ -- change field for polynomials and ideals
* Randomize, Randomized -- randomize the coefficients of a given polynomial
* RealRootRefine -- refine a root of a univariate polynomial over Q
* RealRoots -- computes a root of a univariate polynomial over Q
* 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
* Support -- the list of terms of a polynomial or vector
* Sylvester -- the Sylvester matrix of two polynomials
* WLog -- weighted list of exponents
Details can be found by looking up each item by name. Online, try
'?ItemName' or 'H.Syntax("ItemName")'.
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