a = 1

b = 0

c = 0

Consider the polynomial
x^4 + x^3 + x^2 + cx + 1. (not sure how to write this but its x to the power of 4, x to the power of 3, x to the power of 2)
(a) Create a polynomial code of codeword length 7 from this generating
polynomial.
(b) Is your code cyclic? Justify your answer