Factor Completely $250 \mathrm { k } ^ { 3 } \mathrm {~m} - 128 \mathrm {~m} ^ { 4 }$

question 110

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $250 \mathrm { k } ^ { 3 } \mathrm {~m} - 128 \mathrm {~m} ^ { 4 }$

• A) \(2 \mathrm {~m} ( 5 \mathrm { k } - 4 \mathrm {~m} ) \left( 25 \mathrm { k } ^ { 2 } + 20 \mathrm {~km} + 16 \mathrm {~m} ^ { 2 } \right)\)
• B) \(2 m \left( 5 \mathrm { k } + 4 \mathrm {~m} ^ { 2 } \right) \left( 25 \mathrm { k } ^ { 2 } - 20 \mathrm {~km} + 16 \mathrm {~km} { } ^ { 2 } \right)\)
• C) \(2 \mathrm {~m} ( 125 \mathrm { k } - 4 \mathrm {~m} ) \left( \mathrm { k } ^ { 2 } + 20 \mathrm {~km} + 16 \mathrm {~m} ^ { 2 } \right)\)
• D) \(\left( 10 \mathrm {~km} - 8 \mathrm {~m} ^ { 2 } \right) \left( 25 \mathrm { k } ^ { 2 } + 16 \mathrm {~m} ^ { 2 } \right)\)

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Definitions:

Paradoxical Intent

A cognitive therapy technique in which an individual deliberately practices or exaggerates a feared behavior or thought in order to diminish its power.

Aversive Therapy

A form of behavioral therapy that involves using unpleasant stimuli to reduce or eliminate undesirable behavior.

Reinforcement

In behavioral psychology, it refers to any stimulus which strengthens or increases the probability of a specific response.

Unpleasant Stimulus

A stimulus that is generally undesirable or disagreeable to an individual, often leading to avoidance behavior.