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 \(f(x) = 0\).

(Polynomial equations with integer coefficients are also known as Diophantine ... In the same way that the Riemann zeta function predicts the distribution of prime numbers, so they aim to encode ...

What type of roots the equation has can be shown by the discriminant. The discriminant for a quadratic equation \(a{x^2} + bx + c = 0\) is \({b^2} - 4ac\). And the types of root the equation has ...

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 ∈ ...