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If the divisor is $g (x) = x^{2} - 1$ and the remainder is r $(x)$ , which of the following CANNOT be r $(x)$ ?

Class 10Division AlgorithmAlgebra — Polynomials

A $x^{2} + 1$
B $2 x + 3$
C5
D0

Step-by-Step Solution

deg r < deg

g = 2

, so r can have degree at most 1.

x^{2} + 1

has degree 2 and is not allowed.

Answer: A)

x^{2} + 1

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