Question

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

0
One-seventh
2
Seven-thirds

Answer 1

7/3

Explanation:

Answer 2

Seven-thirds

Explanation:

The give equation is
`f(x)=9x^8+9x^6-12x+7`.

The leading coefficient is 9

The constant term is 7

According to the rational root theorem, the ratio of factors the constant terms to that of the coefficient of the leading term are all possible rational roots of the given polynomial.

Base on this theorem,
`(7)/(3)` or seven thirds is a potential root because the numeration is a factor of 7 and the denominator is a factor of 9.