ABSTRACT

Preview Activity 13.1. In Definition 11.12, we defined the concept of a polynomial function. If R is a commutative ring and p(x) = anx

n + an−1xn−1 + · · · a1x+ a0 is a polynomial in R[x], then the polynomial function induced by p(x) is the function p : R→ R, where for each r in R,

p(r) = anr n + an−1rn−1 + · · · a1r + a0.