Find the Zeros for the Polynomial Function and Give the Multiplicity

question 129

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.
- $$f ( x ) = 3 ( x + 2 ) ( x + 5 ) ^ { 2 }$$

• A) \(- 2\), multiplicity 1 , crosses \(x\)-axis; \(- 5\), multiplicity 2 , touches \(x\)-axis and turns around
• B) 2 , multiplicity 1 , touches \(x\)-axis and turns around; 5 , multiplicity 2 , crosses \(x\)-axis
• C) 2 , multiplicity 1 , crosses \(x\)-axis; 5 , multiplicity 2 , touches \(x\)-axis and turns around
• D) \(- 2\), multiplicity 1 , touches \(x\)-axis and turns around; \(- 5\), multiplicity 2 , crosses \(x\)-axis

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Definitions:

Reserve Ratio

The fraction of depositors' balances banks must have on hand as cash, a regulatory requirement determined by central banks to ensure the stability and liquidity of the banking system.

Monetary Policy

The process by which a central bank controls the supply of money in the economy, primarily through interest rates.

Federal Reserve District Banks

The 12 regional banks in the Federal Reserve System, each serving a specific geographic area of the United States, responsible for implementing the country's monetary policies.

Recessions

A phase of limited economic decrease, with trade and industry activity lowering, usually identified by a decrease in GDP in two adjacent quarters.