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  1. If a polynomial $f(x)$ has roots $r_{1}, r_{2}, \dots r_{n}$, what are the roots of the polynomial $f(x+1)?$ 
  2. Let $f$ be a polynomial of degree three. Set $g(x)=f(x-1)$. Assume that $-1$ is not a root of $f$. What are the roots of the polynomial $x^{3} g(1 / x)?$
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