What is the HCF of the polynomials x⁸ + x⁴ + 1 and x⁴ + x² + 1?

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Quantitative Aptitude

What is the HCF of the polynomials x⁸ + x⁴ + 1 and x⁴ + x² + 1?

This question was previously asked in

CDS 2 2025 Maths Question Paper (14-Sep-2025)

1

x⁴ - x² + 1

x⁴ + x² + 1

x⁴ - x² - 1

The correct answer is

x⁴ + x² + 1

The highest common factor of the given polynomials is x⁴ + x² + 1. Therefore, the correct answer is (c) x⁴ + x² + 1.

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