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Sticky Note
Under Galois theory, the roots of a polynomial is solvable by radicals if and only if the polynomial’s Galois group is?
  1. Solvable
  2. Abelian
  3. Prime
  4. None of these
Explanation
  • A polynomial is solvable by radicals if and only if its Galois group is solvable.
  • A solvable group has a series of subgroups where each quotient is abelian.

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