Answer :

We have,

f(x) = 9x3-3x2+x-5 and g(x) = x=


Therefore, by remainder theorem when f (x) is divided by g (x) = x - , the remainder is equal to f ()


Now, f(x) = 9x3-3x2+x-5


f () = 9 ()3 – 3 ()2 + – 5


= (9 * ) – (3 * ) + – 5


= - + – 5


= 2 – 5 = -3


Hence, the required remainder is -3.


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