Find the greatest common factor of the terms of the polynomial. \[ 18 r^{4}+6 r \]

To find the greatest common factor (GCF) of the terms in the polynomial \( 18 r^{4} + 6 r \), we can start by identifying the coefficients and the variable parts. The coefficients are 18 and 6, and the variable parts are \( r^{4} \) and \( r \). The GCF of the coefficients 18 and 6 is 6. For the variable part, the lowest power of \( r \) between \( r^{4} \) and \( r \) is \( r^{1} \). Therefore, the GCF of the polynomial terms \( 18 r^{4} + 6 r \) is: \[ 6r \] This means we can factor the polynomial as follows: \[ 6r(3r^{3} + 1) \]