Macaulay Resultant Formulation

The Macaulay resultant formulation handles homogeneous polynomial systems of any size: f1(x1,x2,...,xn), f2(x1,x2,...,xn),...,fn-1(x1,x2,...,xn) (such that there are n variables and n expressions).
The Macaulay resultant is based upon Bajaj, Garrity & Warrens Technical report (Rice COMP TR88-83). Bajaj et al described Macaulay's construction in the following manner:
Steps 1-5 compute the numerator of the Macaulay resultant A Steps 6-7 compute the denominator of the Macaulay resultant B