Answer:
Option 4 (±1, ±1/3, ±3, ±9) is the correct option.
Step-by-step explanation:
The given expression is [tex]f(x)=3x^{4}+x^{3}-13x^{2}-2x+9[/tex]
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 [tex]x^{4}[/tex]
=±(Factors of 9)/±(Factors of 3)
=±(1, 3, 9)/±(1, 3)
=±(1, 3, 9, 1/3)
So option 4 is the correct answer.
