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Let x^{3}-5 x^{2}-17 x+21=0x
3
−5x
2
−17x+21=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, enter \text{None}None​.



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