Answer :

Let, f(x) = x3 – 6x2 + 9x + 3


Now,


As per the question,


x – 1 = 0


x = 1


Using Remainder theorem,


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


Hence,


f(1) = (1)3 – 6(1)2 + 9(1) + 3


= 1 – 6 + 9 + 3


= 13 – 6


= 7


Therefore,


The required remainder is 7


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