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Is f(x)=x^5+√6 x^4+2x^2-(3/2)x irreducible in R[x], why or why not? Is g(x)=x^3+x+1 irreducible in Z5[x] why...

Is f(x)=x^5+√6 x^4+2x^2-(3/2)x irreducible in R[x], why or why not?

Is g(x)=x^3+x+1 irreducible in Z5[x] why or why not?

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