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Question
Divide the first polynomial by the second polynomial and find the remainder using remainder theorem.
(2x3 − 2x2 + ax − a) ; (x − a)
Solution
p(x) = 2x3 − 2x2 + ax − a
Divisor = x − a
∴ take x = a
Remainder = p(a)
2 × a3 − 2 × a2 + a × a − a
= 2a3 − 2a2 + a2 − a
∴ Remainder = 2a3 − a2 − a
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