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Use the boundedness theorem

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x^5-2x^3-x+2
  -3| 1    0  -2     0    -1      2
            -3   9  -21   63  -186
        1  -3   7  -21   62  -184   last row is alternating in sign so no zeroes less than -3
 
   3|| 1   0   -2    0   -1      2
             3     9  21  63   186
        1   3     7  21  62   188    last row all positive so no zeroes greater than +3
 
PLEASE  DON'T FORGET THE ZEROES FOR THE MISSING POWERS X4 AND X2