Generalizations of Hensel's lemma and the nearest root method
Hensel's lemma and its various modifications, such as, for instance, the Hensel-Rychlik theorem, are important tools for investigating problems of existence of roots of polynomials in valued fields. It is shown that a method proposed in the author's previous papers can also be used to provide a simpler derivation of results by S. Khanduja in [J. Pure Appl. Algebra, 214, No. 12 (2010), 2294-2300].