Find the Zeros of the Function Below Algebraically, If Any $$f ( x ) = x ^ { 4 } + 8 x ^ { 2 } + 15$$

question 94

Multiple Choice

Find the zeros of the function below algebraically, if any exist.
$$f ( x ) = x ^ { 4 } + 8 x ^ { 2 } + 15$$

• A) \(- \sqrt { 5 } , - \sqrt { 3 } , \sqrt { 3 }\), and \(\sqrt { 5 }\)
• B) \(- \sqrt { 3 } , 0\), and \(\sqrt { 3 }\)
• C) \(- \sqrt { 3 }\) and \(\sqrt { 3 }\)
• D) \(- \sqrt { 5 }\) and \(\sqrt { 5 }\)
• E) No zeros exist.

---

Definitions:

Suicide Rate

The number of suicides occurring among a specific population group during a certain period of time.

European Americans

Individuals in the United States who identify with or are descended from European ancestry.

Native Americans

Indigenous peoples of the United States, including Alaska Natives, Native Hawaiians, and other Pacific Islanders.

Cognitive-Behavioral Therapy

A type of psychotherapeutic treatment that helps patients understand the thoughts and feelings that influence behaviors, focusing on changing negative thought patterns.