1. The problem asks if the first number in the polynomial is 5, would you have to find the factors of 5 and 8 to determine possible zeros. 2. The answer is yes. When using the Rational Root Theorem, the possible rational zeros are all fractions formed by factors of the constant term over factors of the leading coefficient. 3. So if the leading coefficient is 5 and the constant term is 8, you find all factors of 5 (which are 1 and 5) and all factors of 8 (which are 1, 2, 4, 8). 4. Then the possible zeros are all fractions \( \pm \frac{\text{factor of } 8}{\text{factor of } 5} \), which means \( \pm 1, \pm 2, \pm 4, \pm 8, \pm \frac{1}{5}, \pm \frac{2}{5}, \pm \frac{4}{5}, \pm \frac{8}{5} \). 5. This list helps test all possible rational roots of the polynomial. In short: Yes, you find factors of both the leading coefficient and the constant term to list possible zeros.