Sentence:  Theorem 3.2. "If K is a field and f\in K[x] has degree n\ge 1, then there exists a <WSD>splitting field</WSD> F of f with [F:K]\le n!" 
Meaning of the word marked with <WSD> tags:  Given a polynomial "p" over a field "K", the smallest extension field "L" of "K" such that "p", as a polynomial over "L", decomposes into linear factors (polynomials of degree 1);  given a set "P" of polynomials over "K", the smallest extension field of "K" over which every polynomial in "P" decomposes into linear factors.