Hi, on mathematica I have represented the following polynomial a * x ^ 4 + b * x ^ 2 + c * x + 2 using the "Plot" command and, through the "Manipulate" command, it is possible to vary the parameters a, b, c. Now, however, I would like the program to give me back the roots of the polynomial according to the parameters a, b, c .... could you help me kindly?
This is the code:
Manipulate[
Plot[a*x^4 + b*x^2 + c*x + 2, {x, -20, 20},
PlotRange -> {{-20, 20}, {-20, 20}}],
{a, -1, 1}, {b, -10, 10}, {c, -10, 10}, ControlPlacement -> Right]