Ising the rational root theorem, list out all possible/candidate rational roots of \( (x)=5 x^{4}-x^{2}-14 x+6 \). Express your answer as integers or as fractions in simplest form. Use ommas to separate.

To find the possible rational roots of the polynomial \( f(x) = 5x^4 - x^2 - 14x + 6 \) using the Rational Root Theorem, we first identify the constant term (6) and the leading coefficient (5). The candidates for rational roots can be expressed as: \[ \frac{p}{q} \] where \( p \) is a factor of the constant term (6) and \( q \) is a factor of the leading coefficient (5). The factors of 6 are \( \pm 1, \pm 2, \pm 3, \pm 6 \), and the factors of 5 are \( \pm 1, \pm 5 \). Thus, the possible rational roots are: \[ \pm 1, \pm 2, \pm 3, \pm 6, \pm \frac{1}{5}, \pm \frac{2}{5}, \pm \frac{3}{5}, \pm \frac{6}{5} \]