1)Find the greatest common divisor ,d,of the pair of integers (n,m):
n=1,236,805,699 and
m=1,236,318,233
Then find suitable integers k and l such that d=k * n + l * m.
2)Let f(x) be a polynomial which is divisible by x^5-x^4+x^2-2. Suppose that when f(x) is divided by x^3+1,the remainder is (x-2)^2.Find f(x) with the least possible degree.