We present a novel decomposition method to decompose an eighth-degree polynomial equation, into its two constituent fourth-degree polynomials, as factors, leading to its solution. The salient feature of the octic equation solved here is that, the sum of its four roots being equal to the sum of the remaining four roots. We derive the condition to be satisfied by coefficients so that the given octic is solvable by the proposed method.
Kulkarni, Raghavendra G.
"On the Solution to Octic Equations,"
The Mathematics Enthusiast: Vol. 4
, Article 6.
Available at: http://scholarworks.umt.edu/tme/vol4/iss2/6