(1) Divisor : A polynomial p (x) is called a divisor of another polynomial f(x). if f(x) = p(x) . g(x) for some polynomial g(x). (2) H.C.F. of Polynomials : A polynomial h(x) is called the H.C.F. or G.C.D. of two or more given polynomials, if h(x) is a polynomial of highest degree dividing each one of the given polynomials. (3) Remark : The coefficient of highest degree term in H.C.F. is always taken as positive.

H.C.F. & L.C.M. of Polynomials , Algebra