Question

According to the rational root theorem, which number is a potential root of f(x) = 9x8 9x6 – 12x 7?

Answer 1

The options of the problem are

$A. 0\ B. \frac{1}{7}\ C. 2\ D. \frac{7}{3}$

we have

$9x^{8} +9x^{6} - 12x +7$

we know that

The Rational Root Theorem states that when a root 'x' is written as a fraction in lowest terms

 $x=\frac{p}{q}$ 

p is an integer factor of the constant term, and q is an integer factor of the coefficient of the first monomial.

So

in this problem

the constant term is equal to $7$

and the first monomial is equal to $9x^{8}$ -----> coefficient is $9$

therefore

the answer is the option

D. $\frac{7}{3}$

Answer 2

Thank you for posting your math problem here in brainly. According to the rational root theorem, the potential root of f(x) = 9x8 9x6 – 12x 7 are ±1, ±2, ±4, ±13, ±23, ±43,  ±19, ±29, ±49. I hope my answer helps.