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| Question 41959:  find any rational roots for the equation: 6x^4 - 7x^3 + 8x^2 - 7x + 2 = 0
 Answer by fractalier(6550)
      (Show Source): 
You can put this solution on YOUR website! For 6x^4 - 7x^3 + 8x^2 - 7x + 2 = 0, we list the rational root possibilities as
 ±1, ±2, ±1/6, ±1/3, ±1/2, and ±2/3
 and try each one via synthetic substitution...
 Turns out there are two rational solutions...
 x = 2/3 and x = 1/2
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