\( 1 \leftarrow \) Answer the following questions about the equation below. \( x^{3}-18 x-8=0 \) (a) List all rational roots that are possible according to the Rational Zero Theorem. Choose the correct answer below. A. \( \pm 1 \) B. \( \pm 1, \pm 2, \pm 4, \pm 8 \) C. \( -1,-2,-4,-8 \) D. \( \pm 8 \)

To find the possible rational roots of the polynomial equation \( x^{3}-18 x-8=0 \), we can use the Rational Root Theorem. According to this theorem, the possible rational roots are given by the factors of the constant term divided by the factors of the leading coefficient. In this case, the constant term is \(-8\) and the leading coefficient (for \(x^3\)) is \(1\). The factors of \(-8\) are: \(\pm 1, \pm 2, \pm 4, \pm 8\). Since the leading coefficient is \(1\), the possible rational roots are just the factors of the constant term, which are indeed \(\pm 1, \pm 2, \pm 4, \pm 8\). Therefore, the correct answer is: B. \( \pm 1, \pm 2, \pm 4, \pm 8 \)