In algebra, a resolvent cubic is one of several distinct, although related, cubic polynomials defined from a monic polynomial of degree four: P ( x )...

permutation group, in particular: Resolvent quadratic of a cubic equation Resolvent cubic of a quartic equation In logic: Resolvent (logic), the clause produced...

finding the roots of the resolvent cubic which is done elsewhere. This resolvent cubic is equivalent to the resolvent cubic given above (equation (1a))...

is one of the roots of a cubic. The solution of the general quartic equation relies on the solution of its resolvent cubic. The eigenvalues of a 3×3...

equation. The cubic resolvent of a quartic equation, which is a resolvent for the dihedral group of 8 elements. The Cayley resolvent is a resolvent for the...

{\displaystyle S_{4}\to S_{3}} corresponds to the resolvent cubic, in terms of Lagrange resolvents. In the construction of finite rings, eight of the...

corresponding map S4 → S3, corresponds to associating the Lagrange resolvent cubic to a quartic, which allows the quartic polynomial to be solved by radicals...

identifying the three degenerate conics with the three roots of the resolvent cubic. Pappus's hexagon theorem is the special case of Pascal's theorem,...

considered the relation between the roots of a quartic equation and its resolvent cubic. Lagrange's goal (1770, 1771) was to understand why equations of third...

specific quintic is solvable in radicals can be done by using Cayley's resolvent. This is a univariate polynomial of degree six whose coefficients are...