Factor the Four-Term Polynomial by Grouping $8 x ^ { 4 } - 20 x ^ { 2 } + 10 x ^ { 2 } - 25$

question 46

Multiple Choice

Factor the four-term polynomial by grouping.
- $8 x ^ { 4 } - 20 x ^ { 2 } + 10 x ^ { 2 } - 25$

• A) \(\left( 4 x ^ { 2 } + 5 \right) \left( 2 x ^ { 2 } - 5 \right)\)
• B) \(\left( 4 x ^ { 2 } - 5 \right) \left( 2 x ^ { 2 } + 5 \right)\)
• C) \(\left( 8 x ^ { 2 } - 5 \right) \left( x ^ { 2 } + 5 \right)\)
• D) \(\left( 4 x ^ { 4 } + 5 \right) ( 2 x - 5 )\)

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Definitions:

Discounting

The practice of reducing the selling price of goods or services, typically to stimulate sales or clear out inventory.

Ego Psychologists

Ego psychologists study the role of the ego in development and the ways it adapts to reality, managing the conflicts between the id, ego, and superego as outlined in Freudian psychological theory.

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The process by which individuals are aware of and can think about their thoughts, feelings, and beliefs.

Freud

Sigmund Freud, an Austrian neurologist and the founder of psychoanalysis, a clinical method for treating psychopathology through dialogue between a patient and a psychoanalyst.