aspg-21-579-1791468639 20261008141039 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2020 10 1 Somen Debnath Department of Mathematics, Umakanta Academy, Agartala-799001; Tripura, INDIA Anjan Mukherjee Department of Mathematics, Tripura University, Agartala -799022; Tripura, INDIA The purpose of this article is to study neutrosophic polynomials i.e. polynomials which are Neutrosophic in nature and study its properties with the help of neutrosophic numbers. Apart from this we discuss different types of neutrosophic polynomials with concrete examples and establish some theorems and results which will be useful for the further study. We also give a solution method to find the approximate roots of a neutrosophic polynomial equation. 2020 23 35 579 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.0100102 https://www.americaspg.com/journal/21/article/579 https://www.americaspg.com/storage/4770.pdf