According to the rational root theorem what are all potential rational roots of F(x)=9x^4-2x^2-3x+4

The answer is

Explanation:

Rational root theorem, also called rational root test, in algebra, theorem that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the denominator of the fraction and

and the constant term (the one without a variable) must be divisible by the numerator.

In f(x), the ratio is

because 4 is the constant and 9 is leading term

So our factors are

If