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 \(f(x) = 0\).

The author introduces a conceptual framework that permits the meaningful solution of various algebraic problems with multivariate polynomial equations whose coefficients have some indeterminacy; for ...

As they point out, this function is such that there is no reason to expect it to be approximately a low-order polynomial. For the purposes of emulation/prediction, the function is evaluated on x i ∈ ...