List the Potential Rational Zeros of the Polynomial Function $$f ( x ) = 3 x ^ { 5 } - 2 x ^ { 2 } + 6 x - 1$$

question 189

Multiple Choice

List the potential rational zeros of the polynomial function. Do not find the zeros.
- $$f ( x ) = 3 x ^ { 5 } - 2 x ^ { 2 } + 6 x - 1$$

• A) \(\pm 1 , \pm 3 , \pm \frac { 1 } { 3 }\)
• B) \(\pm 1 , \pm \frac { 1 } { 3 }\)
• C) \(\pm 1 , \pm 3\)
• D) \(\pm 3 , \pm \frac { 1 } { 3 }\)

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Definitions:

Cyclobutanol

A four-membered cyclic alcohol characterized by a ring containing three carbon atoms and one oxygen atom in the ring, bonded to a hydroxyl group.

Molecular Formula

A notation that shows the number and type of atoms in a molecule, without indicating how they are bonded together.

Line-Angle Structure

A shorthand diagrammatic method used in organic chemistry to represent chemical structures with lines representing bonds and angles representing chemical bonds without the need to draw all atoms.

Lewis Structure

An illustration depicting the bonds among a molecule's atoms and the potential unshared electron pairs present.