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Mathematics 8 Online
OpenStudy (anonymous):

find the degree of splitting field of x5-3x3+x2-3 over Q

OpenStudy (anonymous):

first factor the expression.

OpenStudy (anonymous):

(x+1)(x-sqrt 3 ) ( x+sqrt 3) (x^2 - x + 1)

OpenStudy (anonymous):

so the degree of the splitting field is 2. Don't ask me how, just google it.

OpenStudy (anonymous):

theres only one rational root though

OpenStudy (anonymous):

which is the one rational root?

OpenStudy (anonymous):

1

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