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 ?
1
1 only
2
2 only
3
Both 1 and 2
4
Neither 1 nor 2