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

question 9

Multiple Choice

List the possible rational zeros of the function.
- $f ( x ) = 6 x ^ { 4 } + 3 x ^ { 3 } - 2 x ^ { 2 } + 2$

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

---

Definitions:

Design for Manufacturability

An engineering practice that focuses on designing products in such a way that they are easy, cost-effective, and efficient to manufacture.

Rapidly Developing

Experiencing fast growth or advancement, often used to describe economies, technologies, or industries.

Market

An area or arena in which commercial dealings are conducted, including the buying and selling of goods and services.

Segmented Components

Parts or sections of a product designed to be easily separable, often for customization, maintenance, or recycling purposes.