Question

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

Answer 1

Answer:

The answer is

$( + - )(1)( \frac{1}{3} )( \frac{1}{9} )(2)( \frac{2}{3} )( \frac{2}{9} )(4)( \frac{4}{3} )( \frac{4}{9} )$

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

$\frac{4}{9}$

because 4 is the constant and 9 is leading term

So our factors are

$\frac{4}{9} = \frac{ + - (1)(2)(4)}{ + - (1)(3)(9)}$

If