UPSC CDS 1 2023 Math Paper

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Question : 43 of 100
 
Marks: +1, -0
Consider the following statements in respect of the polynomial 1 - x - xn + xn+1 where 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 ? 
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