Find the Zeros of the Polynomial Function and State the Multiplicity

question 196

Multiple Choice

Find the zeros of the polynomial function and state the multiplicity of each.
$f ( x ) = 4 ( x + 4 ) ^ { 3 } ( x - 4 ) ( x - 4 + i )$

• A) 4 (multiplicity 3), -4 (multiplicity 1), -4+i (multiplicity 1)
• B) 4 (multiplicity 3), 4 (multiplicity 1), 4 - i (multiplicity 1)
• C) -4 (multiplicity 3), -4 (multiplicity 1), 4 - i (multiplicity 1)
• D) -4 (multiplicity 3), 4 (multiplicity 1), 4- i (multiplicity 1)

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Definitions:

Accidents of Birth

Circumstances or characteristics (e.g., race, nationality, genetic traits) one is born into, over which they have no control, but which may influence their social standing and life opportunities.

Biopolitics

A concept developed by Michel Foucault referring to the governance of populations through an array of political and administrative mechanisms aimed at managing life processes.

Key Site

typically refers to a crucial location or venue significant for a specific event, study, or phenomenon, often carrying symbolic or strategic importance.

Giorgio Agamben

An Italian philosopher known for his work on the concept of the state of exception, biopolitics, and the relation between life and law.