Definition:Root of Polynomial

Definition
Let $$R$$ be a commutative ring with unity whose zero is $$0_R$$ and whose unity is $$1_R$$.

Let $$f \left({x}\right)$$ be a polynomial in $$x$$, where $$x \in R$$.

Then the values of $$x$$ for which $$f \left({x}\right) = 0$$ are known as the roots of the polynomial $$f$$.