Let $p(x)$ be a quadratic polynomial with integer coefficients which has $3+\sqrt{7}$ as a root. Compute $\frac{p(2)}{p(3)}.$
Question:
Let $p(x)$ be a quadratic polynomial with integer coefficients which has $3+\sqrt{7}$ as a root. Compute $\frac{p(2)}{p(3)}.$
Answer:
Let's think step by step.

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\frac{6}{7}
Let $p(x)$ be a quadratic polynomial with integer coefficients which has $3+\sqrt{7}$ as a root. Compute $\frac{p(2)}{p(3)}.$
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