Question

According to the rational root theorem, which number is a potential root of

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

A) 0

B) 1/7

C) 2

D) 7/3

Answer 1

7/3 edg 2021

Explanation:

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Answer 2

Potential roots have the format

factors of the constant term
-------------------------------------
factors of the initial term

Here, 7/3 is the only possible root that has a 7 in the numerator and a factor of 9 in the denominator.

Verify that 7/3 is a root using synthetic division.