Answer: [tex]\bold{\pm1, \pm5, \pm\dfrac{1}{3},\pm \dfrac{5}{3}}[/tex]
Step-by-step explanation:
Q P
3x² - 3x + 5
Possible rational roots are all of the factors of P divided by all of the factors of Q, including both positive and negative values.
[tex]\pm \dfrac{\text{factors of P}}{\text{factors of Q}}[/tex]
[tex]=\pm \dfrac{\text{factors of 5}}{\text{factors of 3}}[/tex]
[tex]=\pm \dfrac{1, 5}{1, 3}[/tex]
[tex]=\pm\dfrac{1}{1}, \pm\dfrac{5}{1}, \pm\dfrac{1}{3},\pm \dfrac{5}{3}[/tex]
