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Let P(x) = x^2 - cx -c. If P(x) is divid...

Let `P(x) = x^2 - cx -c.` If `P(x)` is divided by `(x-2),` the remainder is the same as when `(P(x))^2` is divided by `(x-2),` then the sum of all possible values of `c,` is :

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