Solve the Polynomial Equation $$x ^ { 4 } + 5 x ^ { 3 } - 2 x ^ { 2 } - 18 x - 12 = 0$$

question 92

Multiple Choice

Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational
roots.
- $$x ^ { 4 } + 5 x ^ { 3 } - 2 x ^ { 2 } - 18 x - 12 = 0$$

• A) \(\{ - 1,2 , - 3 + \sqrt { 3 } , - 3 - \sqrt { 3 } \}\)
• B) \(\{ 1 , - 2 , - 3 + \sqrt { 3 } , - 3 - \sqrt { 3 } \}\)
• C) \(\{ - 1,3 , - 3 + \sqrt { 5 } , - 3 - \sqrt { 5 } \}\)
• D) \(\{ - 1 , - 2 , - 3 + \sqrt { 5 } , - 3 - \sqrt { 5 } \}\)

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Definitions:

Average Total Cost

The sum of all production expenses divided by the amount of products made.

Units

Basic measures or quantities, such as length, mass, time, etc., that serve as standards for expressing and comparing quantities.

Average Total Cost

The total cost of production (fixed and variable costs combined) divided by the number of units produced.

Units

Basic quantities or measures adopted by convention or by law, used as a standard to express physical quantities.