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IPMAT Indore 2023 - QA (MCQ) Q26 Explanation
December 31, 2024
Explanation:
(b)
We know, Dividend = Divisor x Quotient + Remainder.
P(x) = (x-1).Q + 2………………..eq.(1)
P(x) = (x-2).K + 1………………..eq.(2)
Multiply eq.(1) by (x-2) and eq.(2) by (x-1) we get,
P(x).(x-2) = (x-1).(x-2).Q + 2(x-2)………………..eq.(3)
P(x).(x-1) = (x-1).(x-2).K + 1(x-1)………………..eq.(4)
Subtracting eq.(3) from eq.(4) we get,
P(x) = [(x-1).(x-2)](K-Q) + 3-x
From above relation, it is evident that when P(x) is divided by (x-1).(x-2), the remainder obtained will be 3-x. Ans.