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Fiesta28
5 days ago
11

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

Mathematics
2 answers:
tester [3.9K]5 days 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 [4.3K]5 days ago
5 0
Thank you for sharing your math question here. <span>According to the rational root theorem, the potential roots of f(x) = 9x8 9x6 – 12x 7 are </span><span>±1, ±2, ±4,</span> <span>±<span>13</span>, ±<span>23</span>, ±<span>43</span>, </span> <span>±<span>19</span>, ±<span>29</span>, ±<span>49.</span> I hope my answer is helpful. </span>
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Respuesta:

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