I think your answer is not correct nakrub. I can easily show counterexample;
When p(x) is divided by (x-1), the remainder is 3.
Therefore p(1) = 3 = r(1).
But your answer, r(x), is not satisfied with r(1) = 3 nakrub.
Acutually, I think you multiplied the factors wrongly nakrub. Just check it!!
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