a) The gcd is the highest order polynomial that divides ( with no remainder) both f and g. It is unique.

b)

and so x-1 is gcd

c) Since 1 and 3 zeroes you know that (x-1)(x-3) divides f.

So divide f by :

so the other two zeroes are the zeroes of , namely -1 and -2.

( I think this is correct - I forgot how that long division of polynomial is a pain )