Find the Zeros of the Polynomial Function and State the Multiplicity

question 140

Multiple Choice

Find the zeros of the polynomial function and state the multiplicity of each.
- $5 x ( x + 6 ) \left( x ^ { 2 } - 16 \right) ^ { 3 }$

• A) 0 (multiplicity \(1 ), - 6\) (multiplicity \(1 ), \pm 4\) (multiplicity 1 )
• B) 0 (multiplicity 1), \(- 6\) (multiplicity 1 ), \(- 16\) (multiplicity 3 )
• C) 0 (multiplicity 1), 6 (multiplicity 1), \(\pm 4\) (multiplicity 3)
• D) 0 (multiplicity 1 ), \(- 6\) (multiplicity \(1 ), \pm 4\) (multiplicity 3 )

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Definitions:

Intent

A determination or resolve to perform an act for a specific purpose, often a crucial factor in legal analysis to establish wrongdoing or contractual agreements.

Social Darwinism

A theory that applies Darwin's concept of natural selection to societies, suggesting that individuals or groups achieve advantage over others as a result of genetic or biological superiority.

Sociological Imagination

The ability to see the relationship between individual experiences and larger social influences, coined by C. Wright Mills.

Spencer's Idea

Associated with Herbert Spencer, who applied evolutionary theory to sociology and philosophy, advocating that society evolves through survival of the fittest.