Q9 of 47 Page 80

If a polynomial x3 – ax2 + ax – a is divided by (x – a), then the remainder is:

Given f(x) = x3 – ax2 + ax – 2


By Remainder Theorem,


x – a = 0


x = a


∴Remainder = f(a) = a3 – a3 + 2a – a = a

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