Consider the following in respect of the polynomial x4k + x4k+2 + x4k+4 + x4k+6 :
1. The remainder is zero when the polynomial is divided by x² + 1.
2. The remainder is zero when the polynomial is divided by x⁴ + 1.
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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