how to use the rational zero theorem

Question

use the rational zeros theorem to list the potential rational zeros of the polynomial function.Do not attempt to find the zeros

f(x)=2x^5-x^3+2x^2-4x-8=0

Answer 1

Gven function 2x^5-x^3+2x^2-4x-8

By the rational root theorem

Since the leading coefficient is q = 2  and constant is p = 8

q could equal ±1,±2

p could equal ±1,±2,±4,±8

So the possible zeroes are ±1,±2,±4,±8,±1/2,±2/2,±4/2,±8/2