I'm having trouble understanding splitting fields. Some of the problems are find the degree of the splitting field of x^4 + 1 over the rational numbers and if p is a prime prove that the splitting field over the rationals of the polynomial x^p - 1 is of degree p-1. I'm really confused with these type of problems. Can anyone give some helpful advice?(adsbygoogle = window.adsbygoogle || []).push({});

Thanks

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# Abstract algebra

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