# Foiled once again

Algebra Level 1

The polynomial in two variables

$f(x,y) = xy + 3y - 4x -12$

can be expressed as the product of two linear factors with integer coefficients, namely

$f(x,y) = (ax + by + c) ( dx + ey + f).$

Evaluate $|a+b+c| + |d+e+f|$.

×