3. Let F be a field. Prove that the set R of polynomials in F(a] whose coefficient of x is 0 is a subring of Fa] and that R is not a U.F.D. (hint: show that a = (a²)³ = (x³)² gives two distinct factorizations of a® into irreducibles.) %3D

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A: Given: Suppose x&lt;y and z≤w. To prove: x+z&lt;y+w.

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A: This question is about group theory.

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