Question

According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 – 2x4 + 9x3 – x2 + 12?
f(x) = 3x5 – 2x4 – 9x3 + x2 – 12
f(x) = 3x6 – 2x5 + 9x4 – x3 + 12x
f(x) = 12x5 – 2x4 + 9x3 – x2 + 3
f(x) = 12x5 – 8x4 + 36x3 – 4x2 + 48

Answer 1

Option A, The option that has the same potential roots according to the rational root theorem is 3x5 – 2x4 – 9x3 + x2 – 12.

How to solve for the roots

We have p, this is the factors of the number 12.

The factors are ±(1, 2, 3, 4, 6, 12)

We have factors of q = 3

= ±(1, 3)

The rational roots are the roots that have the same factors that are contained in the question.

Hence the answer is A.

Read more on Rational root theorem here:

brainly.com/question/2072459

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