Answer:
±1, ±11, ±1/5, ±11/5
Step-by-step explanation:
f(x) = 5x³ - 7x + 11
constant term: 11
leading coefficient: 5
factors of the constant term: ±1, ±11
factors of the leading coefficient: ±1, ±5
possible rational roots = factors of the constant term/factors of the leading coefficient = ±1, ±11, ±1/5, ±11/5