Factor the Expression Completely $3 ( a - b ) ^ { 2 } + 5 ( a - b ) + 2$

question 16

Multiple Choice

Factor the expression completely. If the expression is prime, so indicate. $3 ( a - b ) ^ { 2 } + 5 ( a - b ) + 2$

• A) \(( 3 a - b + 3 ) ( a - b + 1 )\)
• B) \(( 3 a - 3 b - 2 ) ( a - b - 1 )\)
• C) \(( 3 a - 3 b + 2 ) ( a - b + 1 )\)
• D) \(( 3 a - b - 3 ) ( a - b - 1 )\)
• E) prime

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Definitions:

Abolitionist

Refers to a person who advocates for the abolition of slavery, actively working towards ending the practice.

Edward Gorsuch

A Maryland slave owner known for his death during the Christiana Riot of 1851, an event that intensified the pre-Civil War conflict between slave states and free states.

Christiana Riot

An armed resistance that occurred in 1851 in Pennsylvania, where African American slaves and free blacks fought against a federal attempt to capture fugitives under the Fugitive Slave Act, symbolizing resistance against slavery.

Fugitive Slaves

Individuals who escaped from slavery to seek freedom from their enslavers, particularly in the United States before the abolition of slavery.