Factor Out the Greatest Common Factor $15 x ^ { 6 } + 6 x ^ { 3 } - 20 x ^ { 3 } - 8$

question 398

Multiple Choice

Factor out the greatest common factor. Simplify the factors, if possible.
- $15 x ^ { 6 } + 6 x ^ { 3 } - 20 x ^ { 3 } - 8$

• A) \(\left( 15 x ^ { 3 } + 4 \right) \left( x ^ { 3 } - 2 \right)\)
• B) \(\left( 3 x ^ { 6 } - 4 \right) ( 5 x + 2 )\)
• C) \(\left( 3 x ^ { 3 } - 4 \right) \left( 5 x ^ { 3 } + 2 \right)\)
• D) \(\left( 3 x ^ { 3 } + 4 \right) \left( 5 x ^ { 3 } - 2 \right)\)

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Definitions:

Predictive Validity

The extent to which a test score or instrument can predict the performance or outcomes on relevant future measures.

Criterion-related Validity

A measure of how well one variable or test predicts an outcome based on information from other variables.

Psychotic Tendencies

Propensities or inclinations towards experiencing psychosis, characterized by a disconnection from reality, often involving delusions or hallucinations.

Criterion-related Validity

The effectiveness of a test in predicting an individual's performance on related tasks or outcomes.