## Precalculus (6th Edition) Blitzer

The constant term of the polynomial $f\left( x \right)$ is: ${{a}_{0}}=15$ This gives the possible factors of ${{a}_{0}}$ which are: $p=1,3,5,15$ The coefficient of term with highest power of the polynomial $f\left( x \right)$ is: ${{a}_{n}}=2$ This gives the possible factors of ${{a}_{n}}$ which are: $q=1,2$ Therefore, using the rational zero theorem, the possible rational zeros of the function are: $r=\pm 1,\pm 3,\pm 5,\pm 15,\pm \frac{1}{2},\pm \frac{3}{2},\pm \frac{5}{2},\pm \frac{15}{2}$ Therefore, the rational zeros of the function are $r=-\frac{1}{2},3,5$.