In mathematics, a resolvent cubic polynomial is defined as follows: Let
This can be used to find the roots of the quartic, by using the following relations between the roots of f and the roots of g:
These can be established simply with Vieta's formulas.
- Kaplansky, Irving (1972). Fields and Rings. Chicago Lectures in Mathematics (2nd ed.). University Of Chicago Press. p. 52. ISBN 0-226-42451-0. Zbl 1001.16500.