# ABC do 2

Algebra Level 3

Given that $$P_1(x) = x^2 + a_1 x + b_1$$ and $$P_2(x) = x^2 + a_2 x + b_2$$ are two quadratic polynomials with integer coefficients such that $$P_1(m) = P_2 (n)$$, $$P_1(n)= P_2(m)$$, $$a_1 \ne a_2$$, and $$m$$ and $$n$$ are distinct integers. What can be said about $$a_1$$+$$a_2$$?

×