Find All Zeros of the Function and Write the Polynomial $$f ( x ) = x ^ { 4 } + 5 x ^ { 3 } + 15 x ^ { 2 } + 45 x + 54$$

question 140

Multiple Choice

Find all zeros of the function and write the polynomial as a product of linear factors.
- $$f ( x ) = x ^ { 4 } + 5 x ^ { 3 } + 15 x ^ { 2 } + 45 x + 54$$

• A) \(f ( x ) = ( x + 3 ) ( x + 2 ) ( x - 3 i ) ( x + 3 i )\)
• B) \(f ( x ) = ( x - 3 ) ( x + 2 ) ( x - 3 ) ( x + 3 )\)
• C) \(f ( x ) = ( x - 1 ) ( x - 6 ) ( x - 3 i ) ( x + 3 i )\)
• D) \(f ( x ) = ( x - i \sqrt { 6 } ) ( x + i \sqrt { 6 } ) ( x - 3 ) ( x + 3 )\)

Understand the significance of employment policy manuals or handbooks as forms of implied contracts.

Recognize the role of unconditional offers of reinstatement in employment disputes.

Comprehend the after-acquired evidence doctrine and its impact on employment claims.

Understand the concepts and legal definitions related to employment discrimination.

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Definitions:

Directors

Individuals elected by shareholders to oversee the management and make major decisions for a corporation.

Severe Liability

refers to a legal situation where an individual or entity is held heavily responsible for damages or violations, often in cases of gross negligence or intentional misconduct.

Dissent

The act of expressing a difference of opinion or disagreement with a prevailing view or decision.

Executive Committee

a smaller group within a larger organization's board of directors that makes important decisions and policies.