Use Synthetic Division to Find the Quotient and the Remainder $$\left( 3 x ^ { 4 } + 2 x ^ { 2 } - 1 \right) \div \left( x + \frac { 1 } { 2 } \right)$$

question 9

Multiple Choice

Use synthetic division to find the quotient and the remainder.
- $$\left( 3 x ^ { 4 } + 2 x ^ { 2 } - 1 \right) \div \left( x + \frac { 1 } { 2 } \right)$$

• A) \(Q ( x ) = 3 x ^ { 3 } + \frac { 3 } { 2 } x ^ { 2 } - \frac { 11 } { 8 } x + \frac { 11 } { 8 } ; R ( x ) = - \frac { 5 } { 16 }\)
• B) \(Q ( x ) = 3 x ^ { 3 } - 1 ; R ( x ) = - 2\)
• C) \(Q ( x ) = 3 x ^ { 3 } - 1 ; R ( x ) = 0\)
• D) \(Q ( x ) = 3 x ^ { 3 } - \frac { 3 } { 2 } x ^ { 2 } + \frac { 11 } { 4 } x - \frac { 11 } { 8 } ; R ( x ) = - \frac { 5 } { 16 }\)

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Definitions:

Authoritative Requests

Commands or directives issued by individuals in positions of authority that are expected to be followed.

Critical Evaluation

The process of judiciously analyzing and judging the value or merit of something.

Zone of Indifference

The range within which individuals are indifferent to making a choice between different options because the differences are perceived as minimal.

Authoritative Requests

Demands or commands given by a person in a position of power, which are expected to be followed without question.