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Ring Theory

If R is a ring and p(x) is included in R[x] then f(x) is the associated polynomial function from R to R. Find a p(x) included in Zmod2[x] such that f(x)=0 for all x included in zmod2. I know that Zmod2 is all the polynomials whose coefficients are 0 and 1 but I have no idea what I am I trying to look for.

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we think of a polynomial with coefficients in R as a function (map) R --> R

we're ...