Thread: Cubic Polynomial and Linear Factors

True or False:

Every polynomial x^3 + ax^2 + bx + c with integer coefficients is a product of 3 linear factors in some Z [p].

I believe it's true, but I don't know how to prove how.

Originally Posted by EyeheartWaigner

True or False:

Every polynomial x^3 + ax^2 + bx + c with integer coefficients is a product of 3 linear factors in some Z [p].

I believe it's true, but I don't know how to prove how.

Read lemma 1.1 here: http://www.hytc.edu.cn/xsjl/szh/szh21.pdf , and then check the references.

Tonio