Factor the Trinomial Completely by Using Any Method $4 t ^ { 3 } - 40 t ^ { 2 } u + 100 t u ^ { 2 }$

question 132

Multiple Choice

Factor the trinomial completely by using any method. Remember to look for a common factor first. $4 t ^ { 3 } - 40 t ^ { 2 } u + 100 t u ^ { 2 }$

• A) Prime
• B) \(4 t ^ { 2 } ( 1 - 5 u ) ^ { 2 }\)
• C) \(4 t ( t - 5 u ) ( t + 5 u )\)
• D) \(4 t ( t - 5 u ) ^ { 2 }\)

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Definitions:

Population Differences

Variations between groups of organisms of the same species, which may be due to genetic factors, environmental conditions, or both, and can lead to adaptations.

Developmental Explanation

An approach explaining behaviors or traits by understanding the changes that occur in an organism from birth to maturation.

Environmental Determination

The process by which the environment shapes and influences the development and traits of organisms.

Genetic Control

The regulation of an organism's development, behavior, and physiology through its genetic composition.