According to the rational root theorem, what are all the potential rational roots of f(x) = 9x4 – 2x2 – 3x + 4?

Option 1.

Step-by-step explanation:

According to rational root theorem, all the potential rational roots of a function f(x) is defined as

where, p is a factor of constant term and q is the factor of leading coefficient.

The given function is

Here, leading coefficient is 9 and factors of 9 are ±1, ±3, ±9.

Constant term is 4 and factors of 4 are ±1, ±2, ±4.

All the potential rational roots of f(x) are

Therefore, option 1 is correct.

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