Rational Root Theorem - List All Possible Rational Roots

Question

List all the possible rational roots of this polynomial.

$$f(x) = 4x^{5} + 24x^{4} + 32x^{3} - 8x^{2} - 36x - 16$$

Accepted Answer

$$\pm \frac{1}{4},\ \pm \frac{1}{2},\ \pm 1,\ \pm 2,\ \pm 4,\ \pm 8,\ \pm 16$$

Answer

$$\pm \frac{1}{16},\ \pm \frac{1}{8},\ \pm \frac{1}{4},\ \pm \frac{1}{2},\ \pm 1,\ \pm 2,\ \pm 4$$

Answer

$$\pm 1,\ \pm 2,\ \pm 4$$

Answer

$$\pm \frac{1}{4},\ \pm \frac{1}{2},\ \pm 1,\ \pm 2,\ \pm 4$$