Divide the polynomial f = 4 - X + 2X² + 3X³ - X⁴ in Z/7Z[X] by g = 1 - X + X². Then the quotient and the remainder are respectively:

-2X⁴ + 2X³ + X²    and    0.

-X² + 2X - 2    and    2X - 1.

4X² + 2X    and    2X + 4.