A cubic function has an x5 term, its general form is:
a x5 + b x4 + c x3 + d x2 + e x + f = 0
Methods of solution
There is no genral solution by formula, this can be proved by using symmetry.
Open Source Algebra Programs
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Book Shop - Further reading.
Where I can, I have put links to Amazon for books that are relevant to the subject, click on the appropriate country flag to get more details of the book or to buy it from them.
Mathematics for 3D game Programming - Includes introduction to Vectors, Matrices,
Transforms and Trigonometry. (But no euler angles or quaternions). Also includes
ray tracing and some linear & rotational physics also collision detection
(but not collision response).
Terminology and Notation
Specific to this page here: