Why Is It Not Possible for a Function Defined by a Polynomial

question 279

Essay

Why is it not possible for a function defined by a polynomial of degree 4 with real coefficients to have zeros of 2, $3,5 , \text { and } 1 + i$

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Definitions:

Expansionary Gap

A situation in macroeconomics when aggregate output is above potential output, often leading to inflationary pressures.

Recessionary Gap

Describes a situation where the real GDP of an economy is less than its potential GDP, indicating underutilized resources and a sluggish economy.

Deflation

A decrease in the general price level of goods and services in an economy over a period of time, potentially leading to increased unemployment and slower economic growth.

Inflation

The pace of ascent in the general pricing for goods and services, eroding the capability to buy.