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## Homework Statement

Let p(x)=xx+x+4 Determine a set S such that S ={p(n), n is an element of Z). Your

defition of S should not refer to the polynomial p(x).

## Homework Equations

S={n is an element of Z: p(n)=nn+n+4)

## The Attempt at a Solution

I know that we can't take roots of p(x), but set s S={n is an element of Z: p(n)=nn+n+4). I need to define set that is equal to S and prove that it is true. If I would be able to find roots then I can define it in intervals, but I am stuck. Please helep