Question

What are the possible rational zeros for f(x)=3x^4+x^3-13x^2-2x+9?

Answer 1

ANSWER

The correct answer is D.


EXPLANATION

The given function is

$f(x) = 3 {x}^{4} + {x}^{3} - 13 {x}^{2} - 2x + 9$

According to the rational roots theorem, the possible rational roots of f(x) are all factors of 9 expressed over all the factors of 3,

$\pm \frac{1}{3},\pm \frac{3}{3},\pm \frac{9}{3},\pm9$


$\pm \frac{1}{3},\pm 1,\pm 3,\pm9$

The correct answer is D.