5. (8 points) A single-variable polynomial of degree n is written as where an.., ao are coefficients. Suppose we represent such a polyno- mial as a list (aoa, a2an) In this question, you are asked to write a Scheme function polyMult that performs polynomial multiplication of two polynomials. For in- stance, when given (1 2 1) and (1 2 1), polyMult should return (1 4 6 4 1), because (1+2c+12)(1 +22+z?) = 1 +4r + 6x2 +4x3 +x4 We are going to implement the polynomial multiplication by convert- ing it into a series of polynomial addition operations. For the example the multiplication can be performed in the following way 1*(1+2z +12) + 2r * (1+22+12) +x2 * (1 + 2x +x2) (1+2x+H)+ (0+2r +4r+2+ (0+0 2) = = Do the following steps to implement the above polynomial multiplica- tion procedure. (a) Write a function nzero, which takes a number n and returns a list of n zeros. For instance, calling nzero on 3 returns (0 0 0). (b) Write a polynomial addition function polyAdd that adds two polynomials. For instance, when given (1 2 1) and (0 2 4 2), it returns (1 4 5 2)