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?

Step-by-step explanation:

Given is an algebraic polynomial of degree 5.

Here leading term is p=3 and constant term is q =12

Factors of p are ±1,±2,±3

Factors of q are

Possible forms of p/q will be the same for any other polynomial of degree 5 with leading term =3 and constant term = 12

Hence any other polynomial

will have same possible zeroes of p/q, when a,b,c are rational.

Hence any polynomial of this type would have the same possible rational roots.

step-by-step explanation:

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