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Find all integers k such that all roots of the following polynomial are also integers: f(x)=x3−(k−3)x2−11x+(14k−8) (RMO 2016 Maharastra Region)
Problem is already solved here, please see this link : https://www.resonance.ac.in/answer-key-solutions/RMO/2016/Solutions/209-RMO-2016-Goa-Maharashtra-Solution.pdf