Find the equation that roots inverted roots of the equation
Say the roots of $\displaystyle 2x^4+9x^3+14x^2-9x+2 = 0$ are $\displaystyle \alpha_{1}, \alpha_{2}, \alpha_{3}, \alpha_{4}$.
Is what you want the equation whose roots are $\displaystyle \frac{1}{\alpha_{1}}, \frac{1}{\alpha_{2}}, \frac{1}{\alpha_{3}}, \frac{1}{\alpha_{4}}$? See here...