premise: A polynomial consists of variables.
hypothesis: Homogeneous polynomial . 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 . A binary form is a form in two variables . 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 . An example in three variables is .