Answer :

Let, f(x) = x3 - ax2 + 2x - a


Now,


As per the question,


x - a = 0


x = a


Using Remainder theorem,


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


Hence,


f(a) = a3 – a(a)2 + 2(a) – a


= a3 – a3 + 2a – a


= 2a - a


= a


Therefore,


The required remainder is a.


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