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HOMEWORK SOLUTIONS MATH 114 1 Solution.

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HOMEWORK SOLUTIONS MATH 114 Problem set 10. 1. Find the Galois group of x4 +8x+12 over Q. Solution. The resolvent cubic x3 − 48x + 64 does not have rational roots. The discriminant −27 × 84 + 256 × 123 = 27(214 −212) = 81 × 212 is a perfect square. Therefore the …

  Galois

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