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Nathan Nguyen
2024-10-25 11:02:07 -04:00
parent 9f3bea1d7c
commit b8eaddd90d
2 changed files with 15 additions and 15 deletions

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@@ -24,7 +24,7 @@ Two polynomials are equal if and only if their corresponding coefficients are eq
**Definition**. The *ring of polynomials with $n$ indeterminates and coefficients in $R$* is defined as $R[x_1][x_2][\ldots][x_n] = R[x_1, x_2, \ldots, x_n]$.
**Definition**. The *evaluation homomorphism* is the homomorphism $\phi: R[x] \rightarrow R$ defined as $\phi(p(x)) = p(\alpha)$ for some $\alpha \in R$.
**Definition**. The *evaluation homomorphism* is the homomorphism $\varphi: R[x] \rightarrow R$ defined as $\varphi(p(x)) = p(\alpha)$ for some $\alpha \in R$.
## Section 17.2 - The Division Algorithm