Let *F* be a field, and let *F*[*x*] be the ring of polynomials in *x* over *F*. We know that *F*[*x*] is an integral domain with unity and contains *F* as a proper subring. A polynomial *ƒ*(*x*) in *F*[*x*] is called *irreducible* if the degree of *ƒ*(*x*) *≥* 1 and, whenever *ƒ*(*x*) = *g*(*x*)*h*(*x*), where *F*[*x*], then *F* or . If a polynomial is not irreducible, it is called *reducible*.

We remark ...

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