Exercise 8 In modular arithmetic (over integers), (1 En b if n divides a b exactly, with no remainder, and a [mod 11] means the remainder after a is divided by n. Instead, consider modular polynomials, where a, b and n are polynomials with real coefcients and indeterminate variable 2: analogous to the above, dene 13(2) Ed(z) q(2) if d(2) divides 17(2) q(2) exactly, with no remainder. Similarly, 12(2) [mod d(2)] means the remainder polynomial after 19(2) is divided by d (2) Let d(2) = 22 + 1, p(2) = 1212 +100 and (1(2) = (112 + go in the following: (a) What is polynomial modular additionithat is, 19(2) + (1(2) [mod d(2)]? Compute it. (b) What is polynomial modular multiplicationithat is, 17(2) >