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CBSE Class 10 Maths (Standard) 2020 · Paper 30/5/1 · Question 19(b)

Polynomials 1 mark Medium
Can be a remainder while dividing by ? Justify your answer with reasons.

Answer

No. The divisor has degree , so any remainder must have degree less than . Since has degree , it cannot be a remainder. (Carrying out the division gives the actual remainder , of degree .)

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