In this paper, we have presented a new approach to factorization of apolynomial,with the help of Vedic mathematics and modern mathematics concepts. This method is based on the Vedic mathematics sutras Vilokanam, Gunita Sumaccaya: Samuccaya Gunita, and Paravartya Yojayet given by Swami Bharti Krishna Maharaj. It is an easier and more useful method for studentsto easily factorize this type of polynomial with mental calculation.