Under Galois theory, the roots of a polynomial is solvable by radicals if and only if the polynomial’s Galois group is?

Under Galois theory, the roots of a polynomial is solvable by radicals if and only if the polynomial’s Galois group is?

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.