# is divided by (x-a)

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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