linguistic:paraphrasing, information:filtering
Notation

The resultant of two univariate polynomials A and B is commonly denoted res (A, B) {\displaystyle \operatorname {res} (A,B)} or Res (A, B). {\displaystyle \operatorname {Res} (A,B).}

In many applications of the resultant, the polynomials depend on several indeterminates and may be considered as univariate polynomials in one of their indeterminates, with polynomials in the other indeterminates as coefficients. In this case, the indeterminate that is selected for defining and computing the resultant is indicated as a subscript: res x (A, B) {\displaystyle \operatorname {res} _{x}(A,B)} or Res x (A, B). {\displaystyle \operatorname {Res} _{x}(A,B).}

The degrees of the polynomials are used in the definition of the resultant. However, a polynomial of degree d may also be considered as a polynomial of higher degree where the leading coefficients are zero. If such a higher degree is used for the resultant, it is usually indicated as a subscript or a superscript, such as res d, e (A, B) {\displaystyle \operatorname {res} _{d,e}(A,B)} or res x d, e (A, B). {\displaystyle \operatorname {res} _{x}^{d,e}(A,B).}