Answer :

Let, f(x) = 81x4 + 54x3 – 9x2 - 3x + 2


Now,


As per the question,


3x + 2 = 0


3x = -2


x =


Using Remainder theorem,


We know that when f(x)is divided by (2x – 1), the remainder so obtained will be .


Hence,




= 16 – 16 + 4 - 4


= 0


Therefore,


The required remainder is 0.


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