1. Let F = Z/(7), E = F[x]. Determine the output of GCD(5x2 + 4x + 3, x + 6) for the following GCD algorithm. Use a table and write new values of variables and expressions explicitly in your solution. Algorithm GCD INPUT: a, b e E. OUTPUT: 9 E, such that g is a ged of a and b. if b=0 then return a; else return GCD(b, a MOD b); fi; end