# 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

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

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

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

×

Problem Loading...

Note Loading...

Set Loading...