<|system|>
Find the quadratic polynomial, with real coefficients, which has $3 + i$ as a root, and where the coefficient of $x^2$ is 2.</s>.
<|user|>
Can you answer based on context?
<|assistant|>
Since the polynomial has real coefficients, the other root must be $3 - i.$  Thus, the polynomial is
\begin{align*}
2(x - 3 - i)(x - 3 + i) &= 2((x - 3)^2 - i^2) \\
&= 2((x - 3)^2 + 1) \\
&= 2x^2 - 12x + 20.
\end{align*}