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:

Dialog Box

A small window that appears in a graphical user interface to communicate information to the user and receive input.

File Name

A label assigned to a digital document or file to distinguish it from others and to indicate its contents.

Save Often

The recommended practice of frequently saving work to avoid data loss in case of a computer or software malfunction.

Compressed Copies

Files that have been reduced in size through compression algorithms to save storage space or speed up transfer times.