Find a Polynomial of Degree $4$ , with Integer Coefficients That Has Zeros Of

question 51

Multiple Choice

Find a polynomial of degree $4$ , with integer coefficients that has zeros of $3 i$ And $2$ , with $2$ A double zero

• A) \(x ^ { 4 } + 4 x ^ { 3 } - 5 x ^ { 2 } - 36 x - 36\)
• B) \(x ^ { 4 } + 13 x ^ { 2 } - 4 x ^ { 3 } - 36 x + 36\)
• C) \(x ^ { 4 } + 13 x ^ { 2 } + 4 x ^ { 3 } + 36 x + 36\)
• D) \(4 x ^ { 4 } + x ^ { 3 } - 5 x ^ { 2 } - 36 x - 36\)
• E) \(x ^ { 4 } + 4 x ^ { 3 } + 5 x - 36\)

Gain insight into real-world financial decision-making regarding loans, investments, and savings strategies.

Calculate the initial deposit required to meet a specified financial goal with given periodic contributions and interest rates.

Derive future or nominal interest rates from loan or investment scenarios over varying periods.

Determine the amount of periodic withdrawals or deposits required to achieve specific savings or retirement goals under different interest-earning conditions.

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Definitions:

Unsystematic Events

Specific, unpredictable events that affect a single company or a small group of companies, not the entire market.

Investment Risk

The potential for loss of value in an investment, often measured by the variability of returns associated with a given asset.

Risk-averse Investor

A risk-averse investor is someone who prefers to minimize financial risk and is likely to choose investments with lower potential returns to avoid losing money.

Perfect Positive Correlation

A statistical measure indicating that two variables move in the same direction at the same rate all the time.