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.


Step-by-step 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 (1)/(3),\pm (3)/(3),\pm (9)/(3),\pm9`



`\pm (1)/(3),\pm 1,\pm 3,\pm9`

The correct answer is D.