## Precalculus (6th Edition) Blitzer

The constant term of the polynomial $f\left( x \right)$ is: ${{a}_{0}}=18$ This gives the possible factors of ${{a}_{0}}$: $p=1,2,3,6,9$ The coefficient of the term with the highest power of the polynomial $f\left( x \right)$ is: ${{a}_{n}}=2$ This gives the possible factors of ${{a}_{n}}$: $q=1,2$ Therefore, using the Rational Zero Theorem, the possible rational zeros of the functions are: $r=\pm 1,\pm 2,\pm 3,\pm 6,\pm 9,\pm \frac{1}{2},\pm \frac{3}{2},\pm \frac{9}{2}$ Therefore, the rational zeros of the functions are $r=-3,-1,2,-\frac{3}{2}$