List the possible rational zeros. \[ m(x)=x^{4}+11 x^{2}+3 x+14 \] If there is more than one answer, separate them with commas. Select "None" if applicable. The possible rational zeros of \( m(x): \square \)

To find the possible rational zeros of the polynomial \( m(x) = x^{4}+11x^{2}+3x+14 \), we apply the Rational Root Theorem. This theorem states that any potential rational root \( \frac{p}{q} \) will have \( p \) as a factor of the constant term (14) and \( q \) as a factor of the leading coefficient (1). The factors of 14 are \( \pm 1, \pm 2, \pm 7, \pm 14 \), and since the leading coefficient is 1, the only factor of 1 is \( \pm 1 \). Therefore, the possible rational zeros are: \[ \pm 1, \pm 2, \pm 7, \pm 14 \]