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Mathematics, 25.06.2019 18:10 Penguin1502

Suppose $p(x)$ is a polynomial of smallest possible degree such that: $\bullet$ $p(x)$ has rational coefficients $\bullet$ $p(-3) = p(\sqrt 7) = p(1-\sqrt 6) = 0$ $\bullet$ $p(-1) = 8$ determine the value of $p(0)$.

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