Are all polynomial expressions factorable?

1 Answer
Jun 28, 2018

No; at least not if you are restricted to Real values.


As a simple example
#color(white)("XXX")x^2+2# is not factorable with Real values.
A polynomial expression will only be factorable if it crosses or touches the X-axis.

Note, however, if you can use Complex (so called "imaginary") numbers then all polynomials are factorable.