Find All Zeros of the Function and Write the Polynomial $$f ( x ) = x ^ { 4 } + 25 x ^ { 2 } + 144$$

question 243

Multiple Choice

Find all zeros of the function and write the polynomial as a product of linear factors.
- $$f ( x ) = x ^ { 4 } + 25 x ^ { 2 } + 144$$

• A) \(f ( x ) = ( x + 3 i ) ( x - 3 i ) ( x + 4 i ) ( x - 4 i )\)
• B) \(f ( x ) = ( x + i ) ( x - i ) ( x + 12 i ) ( x - 12 i )\)
• C) \(f ( x ) = ( x + 3 i ) ^ { 2 } ( x + 4 i ) ^ { 2 }\)
• D) \(f ( x ) = ( x + 3 + 4 i ) ^ { 2 } ( x + 3 - 4 i ) ^ { 2 }\)

---

Definitions:

Compound Interest

Interest that is figured on the base amount initially invested or borrowed, along with the previously gathered interest.

Exponential Functions

Mathematical functions representing growth or decay at a constantly increasing or decreasing rate, often used in modeling population growth or radioactive decay.

Compound Interest

This refers to interest earned or paid on the initial amount of a deposit or loan, plus any interest that has accrued over time.

Present Value

Present value is the current worth of a future sum of money or stream of cash flows given a specified rate of return.