Which of the following represents the set of possible rational roots for the polynomial shown below 2x^3+5x^2-8x-20=0

The questioner wants us to list all possible roots by applying the Rational Roots theorem

factors of constant term (-20) = +/- 1, +/-2, +/-5, +/-10, +/-20 WE call these factors p.

factors of leading coefficient (2) = +/- 1, +/-2 (call these q)

then possible roots are p/q = +/-1/1, +/- 1/2 , +/- 5/1 , +/- 5/2 and so on.

No because if you do the higher number minus the lower number you will get a positive. if you do it the other way around you will get a negative number