The remainder of (x^3-2x^2+αx+5)/(x-3) is twice that of (x^3-2x^2+ax+5)/(x+1). Find the value of constant 'α'?

*Of the constant ''α''. I'm quite stuck at this problem literally. I'm at the point that I compared the coefficients (separately), but I can't think of a connection. I've attempted letting R(1) = 1/2*R(2); then calculating R(1) by putting the compared coefficients into it, but I didn't get the needed value; and, to make worse, ''c'' troubled me. Any help would be appreciated.

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