# 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.
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