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Irreducible Polynomial Theorem

Proofs of Irreducible Polynomial Theorem :


Theorem 1 : If f , g are two non-zero polynomials over a ring R then

(a) deg(f+g) \(\leq\) max { deg f, deg g} if f+g \(\neq\) 0,

(b) deg fg \(\leq\) deg f + deg g, if fg \(\neq\) 0

Proof:

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