In algebraic geometry, an affine variety is the set of solutions to a system of equations of this type, and modding out by an irreducible one of these always gives a field. The Abel-Ruffini theorem shows that there can be no formula in radicals for the solutions to these in 
In algebraic geometry, an affine variety is the set of solutions to a system of equations of this type, and modding out by an irreducible one of these always gives a field. The Abel-Ruffini theorem shows that there can be no formula in radicals for the solutions to these in degree greater than four, while Descartes' Rule of Signs can be used to classify the type of their roots. FTP, identify this mathematical object composed of a finite sum of products of coefficients and variables, one example of which is x squared minus x plus 1.
In algebraic geometry, an affine variety is the set of solutions to a system of equations of this type, and modding out by an irreducible one of these always gives a field.
polynomials