Answer :

Let, f(x) = 2x3 – 5x2 + 9x - 8


Now,


As per the question,


x – 3 = 0


x = 3


Using Remainder theorem,


We know that when f(x)is divided by (x – 3), the remainder so obtained will be f(3).


Hence,


f(3) = 2(3)3 – 5(3)2 + 9(3) - 8


= 2(27) – 5(9) + 27 - 8


= 54 – 45 + 19


= 28


Therefore,


The required remainder is 28


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