August 28, 2000

Notes on Quartics, Cubics & Quadratics

Solving polynomials, in one variable, of degree smaller than five.

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Solving Quadratics
Solving Cubics
- Algebraic Solution
  - Trigonometric solution to the cubic equation
- Newton's Iterative Solution
Solving Quartics
- Auxiliary Cubics
  - The Euler-Galois Resolvent Cubic
    - Galois solution of the general quartic polynomial
  - Ferrari's method: Completing the Squares
- Quadratics Roots in Practice
References

Links

Solving Quartics and Cubics for Graphics, by Don Herbison-Evans.

Page created & maintained by Frederic Leymarie, 2000.
Comments, suggestions, etc., mail to: leymarie@lems.brown.edu