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

f(x)=2x^7-x^5+8x^4+52

1 answer

if p/q is a rational root, then p divides 52 and 1 divides 2
p: ±1 ±2 ±4 ±13 ±26 ±52
q: ±1 ±2

now, list possible p/q values