Let F be a field and let a be a nonzero element of F.a. If af(x) is irreducible over F, prove that f(x) is irreducible over F.b. If f(ax) is irreducible over F, prove that f(x) is irreducible over F.c. If f(x + a) is irreducible over F, prove that f(x) is irreducibleover F.d. Use part c to prove that 8x3- 6x + 1 is irreducible over Q.

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Q: Q4. Simplify the following expression: 3-5 x 39 Click on image to enlarge if needed 12 81 243 324

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