There is a unique polynomial $P(x)$ of degree $4$ with rational coefficients and leading coefficient $1$ which has $\sqrt{1+\sqrt{6}}$ as a root. What is $P(1)$?
Question:
There is a unique polynomial $P(x)$ of degree $4$ with rational coefficients and leading coefficient $1$ which has $\sqrt{1+\sqrt{6}}$ as a root. What is $P(1)$?
Answer:
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There is a unique polynomial $P(x)$ of degree $4$ with rational coefficients and leading coefficient $1$ which has $\sqrt{1+\sqrt{6}}$ as a root. What is $P(1)$?
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