Algebra I — autumn 2024 — Homework 8
1. Decompose x7 + 3x6 + 2:r5 + 2x4 - 2x3 - 14x2 + 8 into irreducible factors over C, R, Q and Z.
2. Find the minimal polynomial of \/2 ■ \/3 — \/3 + \/3 over Q.