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Suppose the quadratic polynomial p(x) =...

Suppose the quadratic polynomial `p(x) = ax^2 + bx + c` has positive coefficient `a, b, c` such that `b- a=c-b`. If `p(x) = 0` has integer roots `alpha and beta` then what could be the possible value of `alpha+beta+alpha beta` if `0 leq alpha+beta+alpha beta leq 8`

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