List all possible rational zeros given by the Rational Zeros Theorem

Question

List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which actually are zeros) (Enter your answers as a comma-separated list.)

 

P(x) = x3 − 2x2 + 5

Answer 1

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.