SOLUTION: find any rational roots for the equation: 6x^4 - 7x^3 + 8x^2

SOLUTION: find any rational roots for the equation: 6x^4 - 7x^3 + 8x^2 - 7x + 2 = 0

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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