Why Does a Function Defined by a Polynomial of Degree

question 140

Essay

Why does a function defined by a polynomial of degree five with real coefficients have either 1, 3, or 5 real zeros
counting multiplicities?

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Definitions:

Carrying Cost

The total cost of holding inventory, including storage, insurance, taxes, depreciation, and opportunity costs.

Safety Stock

Extra inventory kept in reserve to mitigate the risk of stockouts due to fluctuations in supply and demand, serving as a strategic insurance against variability in lead times.

Lead Time

The total time that elapses between the initiation and completion of a process, such as from placing an order to delivery of a product.

5Ss

refers to a workplace organization method that uses a list of five Japanese words: seiri, seiton, seiso, seiketsu, and shitsuke, translating to sort, set in order, shine, standardize, and sustain.