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
\[\large \left(a+\dfrac{1}{a}\right)\left(b+\dfrac{1}{b}\right)\left(c+\dfrac{1}{c}\right).\]
by
Anish Harsha