Cubic Factorization Over Complex Numbers!

Algebra Level 5

\[\large{x^3 + xy^2 + y^3 +3x^2 + 2xy +4y^2 +Ax + By +3}\]

Find the sum of all integers \(A\) and \(B\) such that the cubic above factors over the complex numbers.

Image Credit: Wikimedia Georg-Johann.
×

Problem Loading...

Note Loading...

Set Loading...