Factor Completely $$24 x ^ { 6 } + 66 x ^ { 4 } + 45 x ^ { 2 }$$

question 46

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $$24 x ^ { 6 } + 66 x ^ { 4 } + 45 x ^ { 2 }$$

• A) \(3 x ^ { 2 } \left( 2 x ^ { 2 } - 3 \right) \left( 4 x ^ { 2 } - 5 \right)\)
• B) \(3 x ^ { 2 } \left( 4 x ^ { 2 } + 5 \right) \left( 2 x ^ { 2 } + 3 \right)\)
• C) \(3 \left( 4 x ^ { 4 } + 5 \right) \left( 2 x ^ { 2 } + 3 \right)\)
• D) \(\left( 12 x ^ { 3 } + 15 \right) \left( 2 x ^ { 3 } + 3 \right)\)

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Definitions:

Experimenter Bias

A form of bias introduced by the experimenter whose expectations about the outcome of the experiment can be subtly communicated to the participants.

Confounds

Variables that the researcher failed to control, or eliminate, damaging the internal validity of an experiment.

Double-Masked Design

A research study design in which neither the participants nor the researchers know who is receiving a particular treatment to prevent bias.

Antipsychotic Drug

Medication primarily used to manage psychosis, including delusions, hallucinations, and disorders such as schizophrenia.