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Jakob Littel

Feb 20, 2025

According to the Rational Root Theorem, which statement about f(x) = 12x^3– 5x^2 + 6x + 9 is true?

A: Any rational root of f(x) is a multiple of 12 divided by a multiple of 9.B: Any rational root of f(x) is a multiple of 9 divided by a multiple of 12.C: Any rational root of f(x) is a factor of 12 divided by a factor of 9.D: Any rational root of f(x) is a factor of 9 divided by a factor of 12.

2 Answers

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Hermina Ferry

Feb 20, 2025

The Rational Root Theorem says that any rational root of f(x) is a factor of the trailing constant divided by a factor of the leading coefficient…In this case, a factor of 9 divided by a factor of 12... Show More
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Hermina Ferry

Feb 20, 2025

D.If there are any rational roots, it would be a factor of your constant term (9) divided by a factor of the high-order coefficient (12).Doesn’t mean that there is one, but if one exists, it will be in that subset of rational numbers.... Show More

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