Polynomial ring

Polynomial factor theorem

Let 𝑅 be a commutative ring, 𝑎 ∈𝑅 and 𝑓(𝑥) ∈𝑅[𝑥]. Then #m/thm/ring

𝑓(𝑎)=0⟺𝑥−𝑎∣𝑓(𝑥).
Proof

#missing/proof

See also


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