A polynomial is an entity.
In mathematics , a homogeneous polynomial is a polynomial whose nonzero terms all have the same degree . For example , is a homogeneous polynomial of degree 5 , in two variables ; the sum of the exponents in each term is always 5 . An algebraic form , or simply form , is a function defined by a homogeneous polynomial . In mathematics , a polynomial is an expression consisting of variables ( or indeterminates ) and coefficients , that involves only the operations of addition , subtraction , multiplication , and non-negative integer exponents .