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Miscellaneous·2024·Easy

Consider the following in respect of the polynomial x 4k + x 4k+2 + x 4k+4 + x 4k+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?

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?

Options

  1. a.

    1 only

    Correct answer
  2. b.

    2 only

  3. c.

    Both 1 and 2

  4. d.

    Neither 1 nor 2

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