Let x^{3}-2 x^{2}-2 x+3=0x

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−2x

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−2x+3=0​ be a polynomial equation.


a) Find all potential rational solution(s) using the Rational Root Theorem. Separate multiple solutions with commas if necessary.

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b) Find all the distinct,​ actual rational solution(s). Separate multiple solutions with commas if necessary. If no solutions exist,