calculususe the rational zeros theorem to list the
posted by Brock .
use the rational zeros theorem to list the potential rational zeros of the potential function. Do not attempt to find the zeros.
f(x)=2x^5x^3+8x^2+52

any rational roots p/q will have p a factor of 52 and q a factor of 2. So, possibilities are
±1 ±2 ±4 ±13 ±26 ±52
±1/2 ±2/2 ±4/2 ±13/2 ±26/2 ±52/2
with some duplicates listed.