Find All Real Solutions of the Polynomial Equation $6 x ^ { 6 } - x ^ { 5 } + 29 x ^ { 4 } - 5 x ^ { 3 } + 19 x ^ { 2 } - 4 x - 4 = 0$

question 94

Multiple Choice

Find all real solutions of the polynomial equation $6 x ^ { 6 } - x ^ { 5 } + 29 x ^ { 4 } - 5 x ^ { 3 } + 19 x ^ { 2 } - 4 x - 4 = 0$ .

• A) \(x = - \frac { 1 } { 3 } , \frac { 1 } { 2 } , \pm 1\)
• B) \(x = \frac { 1 } { 3 } , - \frac { 1 } { 2 } , \pm 2\)
• C) \(x = - \frac { 1 } { 3 } , \frac { 1 } { 2 }\)
• D) \(x = \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 2 } , \pm 1\)
• E) \(x = \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 2 } , \pm 2\)

---

Definitions:

Network Topology

The arrangement of elements (nodes, links, etc.) in a communication network, defining how they are interconnected.

Transmitting PLC

Refers to a Programmable Logic Controller that sends data or signals to other devices or systems.

Digital Data

Information encoded in a binary format, consisting of 1s and 0s, used for storage and communication in digital devices.

Industrial Robot Arm

A robotic manipulator often used in manufacturing, capable of moving materials, parts, tools, or specialized devices through programmed motions for performing various tasks.