Find All Complex Zeros of the Polynomial Function $$f ( x ) = x ^ { 3 } - 64$$

question 86

Multiple Choice

Find all complex zeros of the polynomial function. Give exact values. List multiple zeros as necessary.
- $$f ( x ) = x ^ { 3 } - 64$$

• A) \(4 , - 2 + \sqrt { 3 } i , - 2 - \sqrt { 3 } i\)
• B) \(4 , - 2 + 4 \sqrt { 3 } i , - 2 - 4 \sqrt { 3 } i\)
• C) \(4 , - 2 + 2 \sqrt { 3 } i , - 2 - 2 \sqrt { 3 } i\)
• D) \(4 , - 1 + 2 \sqrt { 3 } i , - 1 - 2 \sqrt { 3 } i\)

---

Definitions:

Chemical Imbalance

A theory suggesting that mental health conditions are associated with changes in the brain's chemical systems.

Excessive Anxiety

A state of heightened worry, nervousness, or unease that is disproportionate to the actual likelihood or impact of the feared event or situation.

Method

A systematic way of doing something, especially in scientific research or problem-solving.

Concept

An abstract idea or a mental symbol.