Question

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

Answer 1

Answer: $\bold{\pm1, \pm5, \pm\dfrac{1}{3},\pm \dfrac{5}{3}}$

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.

  $\pm \dfrac{\text{factors of P}}{\text{factors of Q}}$

$=\pm \dfrac{\text{factors of 5}}{\text{factors of 3}}$

$=\pm \dfrac{1, 5}{1, 3}$

$=\pm\dfrac{1}{1}, \pm\dfrac{5}{1}, \pm\dfrac{1}{3},\pm \dfrac{5}{3}$