We solve polynomials algebraically in order to determine the roots - where a curve cuts the \(x\)-axis. A root of a polynomial function, \(f(x)\), is a value for \(x\) for which \(f(x) = 0\).

Until now, hardware architectures for Ising machines could efficiently solve problems with quadratic polynomial objective functions but were not scalable to increasingly relevant higher-order problems ...

This research aims to provide insights into the structure of singular matrices and their polynomial representations, which can lead to more efficient algorithms for solving related problems[3].