# It may be complex

Algebra Level 4

Let $a$, $b$ and $c$ be roots of the polynomial $P(x)=x^3-2x^2+3x-4$. Determine

$\large \left(a+\dfrac{1}{a}\right)\left(b+\dfrac{1}{b}\right)\left(c+\dfrac{1}{c}\right).$

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