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(a)Q SET # 7 MATH 114 Due March 16. Find the Galois groups of the following polynomials over Q: (a)x4 + x2 + 1; (b)(x2 - 2)(x2 - 3)(x2 - 5); (c)x6 -...
(a)Q SET # 7 MATH 114 Due March 16. 1. Find the Galois groups of the following polynomials over Q: (a)x4 + x2 + 1; (b)(x2 - 2)(x2 - 3)(x2 - 5); (c)x6 - 3; (d)x5 - 2. 2. Which of the following are normal extensions?
