In this paper, our main interest is to create/ construct a new useful and outstanding algorithm to obtain roots of the real polynomial represented by f (x) = c 0 + c 1 x + ... + c i x i + ... + cnx n where coefficients of the polynomials are real numbers and x is a real number in the closed interval of R. Also, our results are supported by numerical examples. Then, a new algorithm is compared with the others (writer classical methods) and this algorithm is more useful than others.