If the LCM and HCF of the two polynomials are \( (x-1)^{2}(x-2)^{2}(x-3)^{3} \) and \( (x-1)(x-2...

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If the LCM and HCF of the two polynomials are \( (x-1)^{2}(x-2)^{2}(x-3)^{3} \) and \( (x-1)(x-2)(x-3) \) respectively and one of the polynomials is \( (x-1) \) \( (x-2)^{2}(x-3) \), then find the other polynomial.
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