List the Potential Rational Zeros of the Polynomial Function $$f ( x ) = - 4 x ^ { 4 } + 3 x ^ { 2 } - 4 x + 6$$

question 37

Multiple Choice

List the potential rational zeros of the polynomial function. Do not find the zeros.
- $$f ( x ) = - 4 x ^ { 4 } + 3 x ^ { 2 } - 4 x + 6$$

• A) \(\pm \frac { 1 } { 4 } , \pm \frac { 1 } { 2 } , \pm \frac { 3 } { 4 } , \pm \frac { 3 } { 2 } , \pm 1 , \pm 2 , \pm 3 , \pm 4 , \pm 6\)
• B) \(\pm \frac { 1 } { 4 } , \pm \frac { 1 } { 2 } , \pm \frac { 3 } { 4 } , \pm \frac { 3 } { 2 } , \pm 1 , \pm 2 , \pm 3 , \pm 6\)
• C) \(\pm \frac { 1 } { 6 } , \pm \frac { 1 } { 2 } , \pm \frac { 1 } { 3 } , \pm \frac { 2 } { 3 } , \pm \frac { 4 } { 3 } , \pm 1 , \pm 2 , \pm 4\)
• D) \(\pm \frac { 1 } { 4 } , \pm \frac { 1 } { 2 } , \pm \frac { 2 } { 3 } , \pm \frac { 3 } { 4 } , \pm \frac { 3 } { 2 } , \pm 1 , \pm 2 , \pm 3 , \pm 6\)

---

Definitions:

Active Voice

A sentence structure where the subject performs the action expressed by the verb, making the writing more direct and clear.

Important Ideas

Concepts or thoughts that hold significant value or influence within a certain context.

Active Sentences

Sentences structured with the subject performing the action expressed by the verb, emphasizing the actor and action.

Endorsement

Public or official support, approval, or recommendation of a product, service, or idea.