1.
Suppose the quadratic polynomial P(x)=ax2+bx+cP(x) = ax^2 + bx + c has positive coefficients a,b,ca,b,c in arithmetic progression in that order. If P(x)=0P(x)=0 has integer roots α\alpha and β\beta, then α+β+αβ\alpha + \beta + \alpha\beta equals