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Q: Help to understand clearly and solve this example from Modern Algebra II with the steps of the solution to better understand, thanks.

**Please give the step by step with details to completely see how the solution came about, thanks.

1) Write the polynomial 2x3 as a product of irreducible polynomials in Z_{5}[x].

2) Find the splitting field of x^(4)+3x^(2)+4= (x^(2)+x+2)(x^(2)-x+2) over Q.

2x3
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Answer #1

3-x 2. 6x+6 3o o(mods)2. 2/2

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