# Complex Plugging

Algebra Level 3

Suppose $$f(x)=x^4-8x^3+4x^2+4x+39$$ and $$f(3+2i)=a+bi$$.

Find the value of $$-32\dfrac{a}{b}$$.

Details and Assumptions

Here $$i$$ is the imaginary unit, which satisfies $$i^2=-1$$.

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