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 x 2 + 1. 2. The remainder is zero when the polynomial is divided by x 4 + 1. Which of the statements given above is / are correct ?

Correct Answer is : Both 1 and 2

UPSC CDS I 2024 Math Paper

Question : 33 of 100

Marks: +1, -0

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 ?

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

Validate

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