Homework 1 Solutions - UCSD Mathematics

1x+a 0 be a polynomial with rational coe cients such that a n and a 0 are nonzero. Show that p(x) is irreducible over the eld of rational numbers if and only if q(x) = a 0xn+ +a n 1x+a n is irreducible over the eld of rational numbers. 1 ................
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