2) (3 marks) Find the remainder r of the Euclidean division of f = x" + 1 by f = x2 + 1 in Rx]. Under what condition on n, does g divide f? Hints. Consider complex roots of g. Consider two cases - n = 2k (even) and n = 2k + 1 (odd) separately. For the second question, give the answer by expressing n in terms of k