Form a Polynomial F(x) with Real Coefficients Having the Given $2 \mathrm { i }$

question 259

Multiple Choice

Form a polynomial f(x) with real coefficients having the given degree and zeros.
-Degree: 4; zeros: $2 \mathrm { i }$ and $- 5 \mathrm { i }$

• A) \(f ( x ) = x ^ { 4 } + 29 x ^ { 2 } + 100\)
• B) \(f ( x ) = x ^ { 4 } - 2 x ^ { 3 } + 29 x ^ { 2 } + 100\)
• C) \(f ( x ) = x ^ { 4 } + 29 x ^ { 2 } - 5 x + 100\)
• D) \(f ( x ) = x ^ { 4 } - 5 x ^ { 2 } + 100\)

---

Definitions:

Uncertain Situations

A condition where the outcomes or consequences of an event are not known or predictable.

Diversification

A strategy for managing risk that involves diversifying the portfolio by incorporating a broad array of investments.

Uncertain Situations

Scenarios in which outcomes or conditions are not known, predictable, or completely measurable, often affecting decision making.

Information

Pertains to data, knowledge, or facts that are acquired through experience, observation, or instruction, which can influence economic decisions.