X^3+2X^2+2X+1 = X(X^2+2X+1) + (X+1) = X(X+1)^2 + (X+1) = {X(X+1) +1}(X+1) = (x^2+X+1)(X+1) , X^4+2X^3-X-2 = X^3(X+2)-(X+2) = (X^3-1)(X+2)
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