Question

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

Answer 1

Option 4 (±1, ±1/3, ±3, ±9) is the correct option.

Explanation:

The given expression is
`f(x)=3x^(4)+x^(3)-13x^(2)-2x+9`

We have to find the possible rational zeros for the function.

So by the rational zero theorem factors will be

=±(Factors of constant term 9)/±factors of coefficient of
`x^(4)`

=±(Factors of 9)/±(Factors of 3)

=±(1, 3, 9)/±(1, 3)

=±(1, 3, 9, 1/3)

So option 4 is the correct answer.