R(x) = 2x^5 + 3x^3 + 2x^2 − 10
Okay, there is the potential to have 5 zero roots because the equations are to the 5th level.
We have to look at the equation and see how often the sign changes. there is only one.
R(x) = 2x^5 + 3x^3 + 2x^2 − 10
therefore there is only one positive root.
now multiply the equation by negative 1
R(x) = -2x^5 - 3x^3 - 2x^2 + 10
therefore there is only one negative root
So, there is one positive and one negative root, so far.
The value 0 may be a root or there may be 3 imaginery roots.