For 10 points, name these functions consisting of constants times variables raised to integer powers.
The Littlewood-Richardson rule gives the coefficients for the linear combination of an example of these objects named for Schur. If these objects are nonconstant and irreducible over the integers, then they are also irreducible over the rationals by Gauss's lemma. Eigenvalues can be found by solving the (*) "characteristic" one of these objects. Descartes' rule of signs is used to determine how many positive and negative roots they have. For 10 points, name these functions consisting of constants times variables raised to integer powers.
The Littlewood-Richardson rule gives the coefficients for the linear combination of an example of these objects named for Schur.
polynomials