Respuesta :
The options of the problem are
[tex] A. 0\ B. \frac{1}{7}\ C. 2\ D. \frac{7}{3} [/tex]
we have
[tex] 9x^{8} +9x^{6} - 12x +7 [/tex]
we know that
The Rational Root Theorem states that when a root 'x' is written as a fraction in lowest terms
[tex] x=\frac{p}{q} [/tex]
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 [tex] 7 [/tex]
and the first monomial is equal to [tex] 9x^{8} [/tex] -----> coefficient is [tex] 9 [/tex]
therefore
the answer is the option
D. [tex] \frac{7}{3} [/tex]
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,
[tex]\rm x= \frac{p}{q}[/tex]
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;
[tex]\rm x = \frac{7}{9}[/tex]
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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