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UPSC CDS 1 2023 Math Paper

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Question : 43

Total: 100

Consider the following statements in respect of the polynomial 1 - x - xⁿ + xⁿ⁺¹where n is a natural number :
1. It is divisible by 1 - 2x + x².
2. It is divisible by 1 - xⁿ.
Which of the statements given above is/are correct ?

1 only
2 only
Both 1 and 2
Neither 1 nor 2

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