Question

question 15 of 25
which of the following are possible rational roots of the polynomial function?
check all that apply.
f(x) = 3x² - 3x + 5
a. ±1/5
b. ± 3
c. ± 1/3
d. ± 5
e. ± 1

Explanation:

Step1: Identify constant and leading coefficients

Constant term: 5; leading coefficient: 3

Step2: List factors of coefficients

Factors of 5: ±1, ±5; factors of 3: ±1, ±3

Step3: Form possible rational roots

Possible roots: $\pm\frac{1}{1}, \pm\frac{1}{3}, \pm\frac{5}{1}, \pm\frac{5}{3}$

Answer:

C. $\pm\frac{1}{3}$, D. $\pm5$, E. $\pm1$