Question

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

Answer 1

The answer is

`( + - )(1)( (1)/(3) )( (1)/(9) )(2)( (2)/(3) )( (2)/(9) )(4)( (4)/(3) )( (4)/(9) )`

Step-by-step 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

`(4)/(9)`

because 4 is the constant and 9 is leading term

So our factors are

`(4)/(9) = ( + - (1)(2)(4))/( + - (1)(3)(9))`

If