Find the Zeros for the Polynomial Function and Give the Multiplicity

question 303

Multiple Choice

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses
the x-axis or touches the x-axis and turns around, at each zero.
-Crosses the $x$ -axis at $- 1,0$ , and 4 ; lies below the $x$ -axis between $- 1$ and 0 ; lies above the $x$ -axis between 0 and $4 .$

• A) \(f ( x ) = - x ^ { 3 } + 3 x ^ { 2 } + 4 x\)
• B) \(f ( x ) = - x ^ { 3 } - 3 x ^ { 2 } + 4 x\)
• C) \(f ( x ) = x ^ { 3 } - 3 x ^ { 2 } - 4 x\)
• D) \(f ( x ) = x ^ { 3 } + 3 x ^ { 2 } - 4 x\)

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Definitions:

Differential Cost

The disparity in expenses resulting from choosing between two options or changes in the amount of output.

Manufacturing Operations

All processes involved in converting raw materials into finished goods, including assembly, labor, and use of machinery.

Unused Capacity

Refers to the available production or service facility space that is not currently being used to generate revenue or produce goods.

Sunk Cost

A cost that has already been incurred and cannot be recovered, which should not influence future business decisions.