Question

Which of the following are possible rational roots 3x^2-3x+5

Answer 1

Answer:
`\bold{\pm1, \pm5, \pm(1)/(3),\pm (5)/(3)}`

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.

`\pm \frac{\text{factors of P}}{\text{factors of Q}}`

`=\pm \frac{\text{factors of 5}}{\text{factors of 3}}`

`=\pm (1, 5)/(1, 3)`

`=\pm(1)/(1), \pm(5)/(1), \pm(1)/(3),\pm (5)/(3)`