Suppose $p(x)$ is a monic cubic polynomial with real coefficients such that $p(3-2i)=0$ and $p(0)=-52$.

Determine $p(x)$ (in expanded form).
Question:
Suppose $p(x)$ is a monic cubic polynomial with real coefficients such that $p(3-2i)=0$ and $p(0)=-52$.

Determine $p(x)$ (in expanded form).
Answer:
Let's think step by step.

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x^3-10x^2+37x-52
Suppose $p(x)$ is a monic cubic polynomial with real coefficients such that $p(3-2i)=0$ and $p(0)=-52$.

Determine $p(x)$ (in expanded form).
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