Write the Polynomial in Completely Factored Form $( x + 5 ) ( x - 5 ) ( x + \sqrt { 5 } ) ( x - \sqrt { 5 } )$

question 440

Multiple Choice

Write the polynomial in completely factored form.
F(x) = x⁴ + 20x² - 125

• A) \(( x + 5 ) ( x - 5 ) ( x + \sqrt { 5 } ) ( x - \sqrt { 5 } )\)
• B) \(( x + 5 ) ( x - 5 i ) ( x + \sqrt { 5 } ) ( x - \sqrt { 5 } i )\)
• C) \(( x + 5 ) ( x - 5 ) ( x + \sqrt { 5 } i ) ( x - \sqrt { 5 } i )\)
• D) \(( x + 5 i ) ( x - 5 i ) ( x + \sqrt { 5 } ) ( x - \sqrt { 5 } )\)
• E) \(( x + 5 i ) ( x - 5 ) ( x + \sqrt { 5 i } ) ( x - \sqrt { 5 } )\)

---

Definitions:

Memory for single items

The cognitive ability to recall and recognize individual pieces of information or singular objects.

Associative memory

The ability of the brain to connect and link related items or concepts, enhancing the retrieval of memories.

Metabolic rate

The rate at which an organism's body converts food into energy, critical for sustaining life processes and determining energy expenditure.

Free radical

An atom or molecule that has an unpaired electron, making it highly reactive and potentially damaging to cells and tissues.