Find a Polynomial Function of the Lowest Degree with Real $0,2,4 - i$

question 97

Multiple Choice

Find a polynomial function of the lowest degree with real coefficients that has the zeros below and whose leading coefficient is one. $0,2,4 - i$

• A) \(f ( x ) = x ^ { 4 } - 34 x ^ { 3 } + 32 x ^ { 2 } - 10 x\)
• B) \(f ( x ) = x ^ { 4 } - 10 x ^ { 3 } + 33 x ^ { 2 } - 34 x\)
• C) \(f ( x ) = x ^ { 4 } + 32 x ^ { 3 } - 10 x ^ { 2 } - 34 x\)
• D) \(f ( x ) = x ^ { 4 } - 10 x ^ { 3 } - 34 x ^ { 2 } + 32 x\)
• E) \(f ( x ) = x ^ { 4 } + 32 x ^ { 3 } - 34 x ^ { 2 } - 10 x\)

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Definitions:

Daily Operations

The day-to-day activities necessary for a business to function smoothly, including production, sales, and administrative tasks.

Compensating Balance

A minimum account balance that a borrower is required to maintain with a lender as a condition for a loan, intended to compensate the bank for providing the loan or credit line.

Effective Interest Rate

The actual return on an investment or the actual cost of a loan, taking into account the compounding of interest over time, as opposed to the nominal interest rate.

Short-Term Bank Loan

A loan obtained from a bank that has a short repayment period, typically less than one year.