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

question 86

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.

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Definitions:

Argument by Analogy

A form of reasoning in which an argument or claim is supported by drawing a comparison between two similar situations or cases.

Similarities

Refers to the aspects or qualities that two or more entities have in common.

Dissimilarities

The state or quality of being unlike or different in nature, form, or quality.

Relevance

The degree to which something is related or useful to the matter at hand.