Write a Polynomial F (X) That Meets the Given Conditions $\frac { 3 } { 4 }$

question 71

Multiple Choice

Write a polynomial f (x) that meets the given conditions.
-Polynomial of lowest degree with zeros of $\frac { 3 } { 4 }$ (multiplicity 2 ) and $\frac { 1 } { 3 }$ (multiplicity 1 ) and with $f ( 0 ) = - 18$

• A) \(f ( x ) = 96 x ^ { 3 } - 176 x ^ { 2 } + 102 x - 18\)
• B) \(f ( x ) = 48 x ^ { 3 } - 88 x ^ { 2 } + 51 x - 18\)
• C) \(f ( x ) = 96 x ^ { 3 } - 176 x ^ { 2 } - 6 x - 18\)
• D) \(f ( x ) = 48 x ^ { 3 } - 88 x ^ { 2 } + 3 x - 18\)

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Definitions:

Uncentralized Political System

A political structure where power is distributed among various groups or units instead of centralized authority.

Social Organization

The structured patterns of relationships and roles that arise in any society, dictating how individuals and groups interact.

Kinship

A network of relatives into which individuals are born and married, and with whom they cooperate based on customarily prescribed rights and obligations.

Jirgas

Traditional assemblies of leaders in some Pashtun and Baloch communities used for decision-making and resolution of disputes.