Correct the definition of the italicized term without reference to the text, if correction is needed, so that it is in a form acceptable for publication.

Let F̅ be an algebraic closure of a field F. The multiplicity of a zero α ∈ F̅ of a polynomial f(x) ∈ F[x] is
v ∈ Z⁺ if and only if (x - α)^v is the highest power of x - α that is a factor of f(x) in F[x].