Find the Zeros for the Polynomial Function and Give the Multiplicity

question 75

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.
- $$f ( x ) = 2 \left( x - \frac { 5 } { 2 } \right) ( x - 4 ) ^ { 3 }$$

• A) \(- \frac { 5 } { 2 }\), multiplicity 1 , touches the \(x\)-axis and turns around; \(- 4\), multiplicity 3 , touches \(x\)-axis and turns around
• B) \(\frac { 5 } { 2 }\), multiplicity 1 , touches the \(x\)-axis and turns around; 4 , multiplicity 3 , touches \(x\)-axis and turns around
• C) \(\frac { 5 } { 2 }\), multiplicity 1 , crosses \(x\)-axis; 4 , multiplicity 3 , crosses \(x\)-axis
• D) \(- \frac { 5 } { 2 }\), multiplicity 1 , crosses \(x\)-axis; \(- 4\), multiplicity 3 , crosses \(x\)-axis

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Definitions:

Capital Balance

The amount of money invested in a company by its owners or shareholders, represented in the equity section of the balance sheet.

Accounting Period

The span of time at the end of which a company's financial performance is measured and reported.

Investments

Assets purchased with the aim of generating income or appreciation, such as stocks, bonds, or real estate.

Withdraw

Withdraw refers to the act of taking out money from a bank account or the removal of assets or resources from use or participation.