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

question 86

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) \(f ( x ) = ( x + 3 + 4 i ) ^ { 2 } ( x + 3 - 4 i ) ^ { 2 }\)

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Definitions:

Statement

A Statement is an instruction that a programming language can execute, typically expressing some action to be carried out.

Original Element

Refers to the initial or unchanged data or object in a context where alterations might be applied.

Pointer

A variable that stores the memory address of another variable, allowing for indirect access to that variable.

Array Element

An individual value or item stored in an array, accessible by an index representing its position within the array.