Question

According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7?

Answer 1

Answer:

its D, 3/7.

Step-by-step explanation:

just did it egen2020

Answer 2

Answer:

$\pm 1, \pm\dfrac{1}{3},\pm\dfrac{1}{9},\pm 7, \pm\dfrac{7}{3},\pm\dfrac{7}{9}$.

Step-by-step explanation:

According to the Rational Root Theorem, the potential roots of a polynomial are

$x=\pm\dfrac{p}{q}$  

where, p is a factor of constant and q is a factor of leading term.

The given polynomial is

$f(x)=9x^8+9x^6-12x+7$

Here, 9 is the leading term and 7 is constant.

Factors of 9 are ±1, ±3, ±9.

Factors of 7 are ±1, ±7.

Using rational root theorem, the rational or potential roots are

$x=\pm 1, \pm\dfrac{1}{3},\pm\dfrac{1}{9},\pm 7, \pm\dfrac{7}{3},\pm\dfrac{7}{9}$

Therefore, the potential root of f(x) are $\pm 1, \pm\dfrac{1}{3},\pm\dfrac{1}{9},\pm 7, \pm\dfrac{7}{3},\pm\dfrac{7}{9}$.