Introduction to Cryptography - Old Questions

          b) Calculate the result of the following if the polynomial are over GF(2):                       (5)

    (x⁴ + x² + x + 1) + (x³+1)

    (x⁴ + x² + x + 1) – (x³+1)

    (x⁴ + x² + x + 1) x (x³+1)

    (x⁴ + x² + x + 1) / (x³+1)