Answer :

Let, f(x) = 3x4 – 6x2 - 8x + 2


Now,


As per the question,


x – 2 = 0


x = 2


Using Remainder theorem,


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


Hence,


f(2) = 3(2)4 – 6(2)2 - 8(2) + 2


= 3(16) – 6(4) -16 + 2


= 48 -24 – 14


= 10


Therefore,


The required remainder is 10.


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