What is the HCF of the polynomials x^{8}+x^{4}+1 and x^{4}+x^{2}+1?

Explanation

Factoring the larger polynomial using difference of squares: x^8+x^4+1 = (x^4+1)^2 - x^4 = (x^4+x^2+1)(x^4-x^2+1). Since x^4+x^2+1 is a factor of the first polynomial, it is their HCF.

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