The resultant of and with respect to is a homogeneous polynomial in and that has the following property: with if and only if it exist such that is a common zero of and (see ). The above technical condition ensures that is unique. The first above technical condition means that the degrees used in the definition of the resultant are and ; this implies that the degree of is (see ).
the resultant of and with respect to is a homogeneous polynomial in and that has the following property with if and only if it exist such that is a common zero of and (see ) the above technical condition ensures that is unique the first above technical condition means that the degrees used in the definition of the resultant are and ; this implies that the degree of is (see )