Question

Which of the following are possible rational roots of the polynomial function?

F(x) = 3x^2 - 3x + 5


+/-3


+/-5


+/- (1/5)


+/- 1


+/- (1/3)

Answer 1

+ 1/3, +5, +1

Explanation:

Answer 2

Answer:
`\bold{B.\ \pm5\quad D.\ \pm1\quad E.\ \pm (1)/(3)}`

Explanation:

Q P

F(x) = 3x² - 3x + 5

The possible rational roots are all of the factors of P divided by each of the factors of Q - including both positive and negative values.

`(P=5)/(Q=3)=\pm (1,5)/(1,3)=\pm \bigg\{(1)/(1),(1)/(3),(5)/(1),(5)/(3)\bigg\}=\pm \bigg\{1, (1)/(3),5,(5)/(3)\bigg\}`