Hensel's lemma the value of "c" mod 27: if "c" ≡ 1 mod 27 then use "a" = 1, if "c" ≡ 10 mod 27 then use "a" = 4 (since 4 is a root of "f"("x") mod 27), and if "c" ≡ 19 mod 27 then use "a" = 7. (It is not true that every "c" ≡ 1 mod 3 is a 3-adic cube, e.g., 4 is not a 3-adic cube since it is not a cube mod 9.) In a similar way, after some preliminary work Hensel's lemma can be used to show that for any "odd" prime number
The Root Glass Company The Root Glass Company The Root Glass Company originated as Root Glass Works in Vigo County, Indiana. Businessman and Pennsylvania native Chapman J. Root (November 22, 1864 - November 20, 1945) opened the original glass company on May 27, 1901, at Third and Voorhees Streets a year after he moved to the city of Terre Haute, Indiana. By 1904 the company was manufacturing beverage bottles for Coca-Cola as well as several other beverage companies in the area. Between 1905 and 1912 the Root Glass Company workforce increased from 600 to 825 employees. In 1915, Root's company entered a Coca-Cola contest