Respuesta :

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.

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