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

Mathematics

2 answers:

tester [12.3K]2 months ago

7 0

The options related to the question are

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

We have

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

It is known that

The Rational Root Theorem indicates that when a root 'x' is expressed as a fraction in simplest form

$x=\frac{p}{q}$

p represents an integer factor of the constant term, while q signifies an integer factor of the coefficient of the leading term.

Therefore,

for this question,

the constant term equals $7$

and the leading term is $9x^{8}$ -----> coefficient is $9$

Consequently,

the response is the option

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

Svet_ta [12.7K]2 months ago

5 0

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

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