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The Brainliest Answer!
2014-08-22T15:42:45+05:30
Given polynomial 

p(x) = 4x^4 - 3x^3 + 5x^2 -x + 8

to check 1/8 is a root or not,

p( \frac{1}{8} ) = 4(\frac{1}{8})^4 - 3(\frac{1}{8})^3 + 5(\frac{1}{8})^2 - (\frac{1}{8}) + 8

p( \frac{1}{8} ) = 4(\frac{1}{4096}) - 3(\frac{1}{512}) + 5(\frac{1}{64}) - (\frac{1}{8}) + 8

p( \frac{1}{8} ) = (\frac{1}{1024}) - (\frac{3}{512}) + (\frac{5}{64}) - (\frac{1}{8}) + 8
p( \frac{1}{8} ) = (\frac{9073}{1024}) - (\frac{67}{512})

The above result is not equal to 0
Hence 1/8 is not a root of the given polynomial.

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