Exercise

Let f be the class of the polynomial 3 + 6X + 8X² + 2X³ - 88X⁴ in Z[X]/(3). What is the image of f under the map I of the theorem?

2X² + 2X³ - 2X⁴

2X² + 2X³ + 2X⁴

8X² - 2X² + 2X³ + 2X⁴