Find a Polynomial Function with Following Characteristics $- 3$ , Multiplicity: 2
Falls to the Left,
Falls to the 4

question 41

Multiple Choice

Find a polynomial function with following characteristics.
Degree: 4
Zero: 4 , multiplicity: 2
Zero: $- 3$ , multiplicity: 2
Falls to the left,
Falls to the right
Absolute value of the leading coefficient is one

• A) \(y = x ^ { 4 } + x ^ { 3 } - 23 x ^ { 2 } + 24 x - 12\)
• B) \(y = - x ^ { 4 } + x ^ { 3 } - 48 x ^ { 2 } + 9\)
• C) \(y = x ^ { 4 } - 6 x ^ { 3 } - 18 x ^ { 2 } + 25 x + 48\)
• D) \(y = - x ^ { 4 } + 2 x ^ { 3 } + 23 x ^ { 2 } - 24 x - 144\)
• E) \(y = - x ^ { 4 } + 2 x ^ { 3 } - 24 x - 36\)

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Definitions:

Fiscal Policy

Government adjustments to its spending levels and tax rates to influence a nation's economy, aiming to manage economic output, inflation, and employment.

Aggregate Demand

The total demand for all goods and services in an economy at various price levels, at a given time.

Demand-Management Policy

A set of government measures intended to influence the economy by controlling demand, typically through fiscal and monetary policies.

Stagflation

A period of slow economic growth and high unemployment with rising prices.