Write $f ( x ) = x ^ { 3 } - 7 x ^ { 2 } + 10 x - 29$

question 34

Multiple Choice

Write $f ( x ) = x ^ { 3 } - 7 x ^ { 2 } + 10 x - 29$ in the form $f ( x ) = ( x - k ) q ( x ) + r$ when $k = 6$ .

• A) \(f ( x ) = ( x - 6 ) \left( x ^ { 2 } - x + 4 \right)\)
• B) \(f ( x ) = ( x - 6 ) \left( x ^ { 2 } - x + 4 \right) - 5\)
• C) \(f ( x ) = ( x + 6 ) \left( x ^ { 2 } - x + 4 \right) + 5\)
• D) \(f ( x ) = ( x + 6 ) \left( x ^ { 2 } + x + 4 \right) - 5\)
• E) \(f ( x ) = ( x - 6 ) \left( x ^ { 2 } + x + 4 \right) + 5\)

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Definitions:

Economics Homework

Assignments given to students to deepen their understanding of economic principles, theories, and models.

Opportunity Cost

The cost of missing out on the next best alternative when making a decision or choosing to produce or consume one good over another.

Marginal Analysis

An evaluation method that weighs the benefits of an additional unit of consumption or production against the cost to understand decision-making processes.

Opportunity Cost

The worth of the most favorable option given up when a choice is made.