I want to know the answer to the following question:
What concept is associated with the solvability of polynomials?
All the background I'm provided with is that "Abstract properties of Galois groups associated with polynomials (in particular their solvability) give a criterion for polynomials that have all their solutions expressible by radicals, i.e. solutions expressible using solely addition, multiplication, and roots similar to the formula above.". Is that enough to answer the question?
Answer: yes