This is the order of x in a elliptic curve.
The fact that 2 times cosine of 2pi/7 is the solution to an instance of this sort of equation was used to prove that a regular heptagon can be constructed using a marked ruler. Every curve of genus one is isomorphic to this type of smooth projective plane curve. Tait incorrectly conjectured that certain planar graphs with degrees describable as this were also Hamiltonian. This is the order of x in a elliptic curve. Discriminants of this type of polynomial include a term of eighteen times the product of the coefficients. Cardano's Rule can be used to solve equations of this order. Polynomials of this order have local extrema numbering at most two. For 10 points, name the order of polynomials that have three roots.
The fact that 2 times cosine of 2pi/7 is the solution to an instance of this sort of equation was used to prove that a regular heptagon can be constructed using a marked ruler.
cubic [accept three; or cube; prompt on polynomial]