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The value of a can be obtained by substituting 1 to the equation and equating p(1) = 0.

 p(x) = x2a - 3xa + 3x2 -1 

p(1) = a - 3a +3 -1 = 0

therefore a =1

the equation now becomes p(x) = x2 - 3x + 3x2 -1

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