My Math Forum Ideal in z(x)

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 November 4th, 2013, 09:11 AM #1 Newbie   Joined: Sep 2013 Posts: 15 Thanks: 0 Ideal in z(x) Show that if I is the ideal of all polynomials in $\mathbb{Z}[x]$ with zero constant term then $I^n= \{ a_n x^n + \cdots + a_{n+k} x^{n+k} \ |\ a_i \in \mathbb{Z}, k \geq 0 \}$ is the set of polynomials whose first nonzero term has degree at least n.

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