SOLUTION: How many solutions exist for the equation {{{ 3x^4 + x^3 - 8x^2 - 2x + 4 = 0 }}}

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Question 260511: How many solutions exist for the equation +3x%5E4+%2B+x%5E3+-+8x%5E2+-+2x+%2B+4+=+0+
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
After doing some synthetic and polynomial division I have 4 roots at:
x = -1
x = 2/3
x = sqrt(2)
x = -sqrt(2)