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List all possible rational zeros given by the Rational Zeros Theorem

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1 Answer

P/Q where p = 5 or p = -5 and q = 1 or q = -1 
 
5/1, 5/-1, -5/1, -5/-1
 
So 5 and -5 are the possible rational zeros.
 
Neither appear to work since 5^3 -2(5^2) + 5 = 80 and (-5)^3 - 2 (-5)^2 + 5  = -125 - 50 + 5 = -170.