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)

Question

asked May 16, 2020 140k views

2 Answers

Nowshad Syed · Answer 1 · 2020-05-23T01:19:55+0000

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.

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