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calculista

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. \(\frac{7}{3}\)

The number is a potential root of function is 7/9.It is found as the ratio of e constant term's integer factor, p to the first monomial's coefficient's integer factor.

What exactly is a function?

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

The given function is;

F(x) = 9x⁸+ 9x6 – 12x +7

According to the Rational Root Theorem, when a root "x" is expressed as a fraction in lowest terms,

\(\rm x= \frac{p}{q}\)

Where,the constant term's integer factor is p, while the first monomial's coefficient's integer factor is q.

The value of x is;

\(\rm x = \frac{7}{9}\)

Hence the number is a potential root of function is 7/9.

   

To learn more about the function, refer to:

https://brainly.com/question/5245372

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