Depressed cubic equation over domain ℤ2*.

The polynomial equations demand different solvability criterion in the p-adic field compared to the real field. This is due to the non-Archimedean and finite properties that been used in the p-adic field. In previous work, the solvability criterion of the cubic equations had been studied in depressed form for case p≥2. However, the proof for case prime p = 2 is not complete. This paper will provide the proof of such a problem. [ABSTRACT FROM AUTHOR]